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Some network-type properties of the space of G-permutation degree g -置换度空间的一些网络型性质
IF 0.8
Applied general topology Pub Date : 2023-04-05 DOI: 10.4995/agt.2023.18985
L. Kočinac, F. Mukhamadiev, A. Sadullaev, Sh. U. Meyliev
{"title":"Some network-type properties of the space of G-permutation degree","authors":"L. Kočinac, F. Mukhamadiev, A. Sadullaev, Sh. U. Meyliev","doi":"10.4995/agt.2023.18985","DOIUrl":"https://doi.org/10.4995/agt.2023.18985","url":null,"abstract":"In this paper the network-type properties (network,cs−network,cs∗−network,cn−network andck−network) of the spaceSPnGXofG-permutation degree ofXare studied. It is proved that:(1) IfXis aT1-space that has a network of cardinality≤κ, thenSPnGXhas a network of cardinality≤κ;(2) IfXis aT1-space that has acs-network (resp.cs∗-network) ofcardinality≤κ, thenSPnGXhas acs-network (resp.cs∗-network) ofcardinality≤κ;(3) IfXis aT1-space that has acn-network (resp.ck-network) ofcardinality≤κ, thenSPnGXhas acn-network (resp.ck−network) ofcardinality≤κ.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"78 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77021817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New results regarding the lattice of uniform topologies on C(X) 关于C(X)上一致拓扑格的新结果
IF 0.8
Applied general topology Pub Date : 2023-02-24 DOI: 10.4995/agt.2023.18738
Roberto Pichardo-Mendoza, Alejandro R'ios-Herrej'on
{"title":"New results regarding the lattice of uniform topologies on C(X)","authors":"Roberto Pichardo-Mendoza, Alejandro R'ios-Herrej'on","doi":"10.4995/agt.2023.18738","DOIUrl":"https://doi.org/10.4995/agt.2023.18738","url":null,"abstract":"For a Tychonoff space X, the lattice UX  was introduced in L. A. Pérez-Morales, G. Delgadillo-Piñón, and R. Pichardo-Mendoza, The lattice of uniform topologies on C(X), Questions and Answers in General Topology  39 (2021), 65-71.\u0000In the present paper we continue the study of UX. To be specific, the present paper deals, in its first half, with structural and categorical properties of UX, while in its second part focuses on cardinal characteristics of the lattice and how these relate to some cardinal functions of the space X.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"25 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85190520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fixed point theorems for a new class of nonexpansive mappings 一类新的非扩张映射的不动点定理
IF 0.8
Applied general topology Pub Date : 2022-10-03 DOI: 10.4995/agt.2022.17359
R. Pant, Rahul Shukla
{"title":"Fixed point theorems for a new class of nonexpansive mappings","authors":"R. Pant, Rahul Shukla","doi":"10.4995/agt.2022.17359","DOIUrl":"https://doi.org/10.4995/agt.2022.17359","url":null,"abstract":"We consider a new class of nonlinear mappings that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We present some existence and convergence results for this class of mappings. Some illustrative examples presented herein show the generality of the obtained results.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90140299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
C*-algebra valued quasi metric spaces and fixed point results with an application C*-代数值拟度量空间与不动点结果及其应用
IF 0.8
Applied general topology Pub Date : 2022-10-03 DOI: 10.4995/agt.2022.16783
Mohammad Asim, Santosh Kumar, M. Imdad, R. George
{"title":"C*-algebra valued quasi metric spaces and fixed point results with an application","authors":"Mohammad Asim, Santosh Kumar, M. Imdad, R. George","doi":"10.4995/agt.2022.16783","DOIUrl":"https://doi.org/10.4995/agt.2022.16783","url":null,"abstract":"In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one of the main results to examine the existence and uniqueness of the solution for a system of Fredholm integral equations.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"52 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86842988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of induced mappings on symmetric products, some answers 对称积上诱导映射的动力学，若干答案
IF 0.8
Applied general topology Pub Date : 2022-10-03 DOI: 10.4995/agt.2022.17492
A. Illanes, V. Martínez-de-la-Vega
{"title":"Dynamics of induced mappings on symmetric products, some answers","authors":"A. Illanes, V. Martínez-de-la-Vega","doi":"10.4995/agt.2022.17492","DOIUrl":"https://doi.org/10.4995/agt.2022.17492","url":null,"abstract":"Let X be a metric continuum and n a positive integer. Let Fn (X) be the hyperspace of nonempty subsets of X with at most n points. If 0 < m < n, we consider the quotient space Fnm (X) = Fn (X)/Fm (X). Given a mapping f  from X into X, we consider the induced mappings fn from Fn (X) into Fn (X) and fnm  from Fnm (X) into Fnm (X). In this paper we study the relations among the dynamics of the mappings f, fn, and fnm  and we answer some questions, by F. Barragán, A. Santiago-Santos and J. Tenorio, related to the properties: minimality, irreducibility, strong transitive and turbulence.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82448034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Best proximity point (pair) results via MNC in Busemann convex metric spaces 在Busemann凸度量空间中，通过MNC得到最佳接近点(对)
IF 0.8
Applied general topology Pub Date : 2022-10-03 DOI: 10.4995/agt.2022.14000
M. Gabeleh, P. Patle
{"title":"Best proximity point (pair) results via MNC in Busemann convex metric spaces","authors":"M. Gabeleh, P. Patle","doi":"10.4995/agt.2022.14000","DOIUrl":"https://doi.org/10.4995/agt.2022.14000","url":null,"abstract":"In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces. Then an application of the main existence result to study the existence of an optimal solution for a system of differential equations is demonstrated.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"43 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87873024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Urysohn lemma for regular spaces 正则空间的一个Urysohn引理
IF 0.8
Applied general topology Pub Date : 2022-10-03 DOI: 10.4995/agt.2022.16720
Ankit Gupta, R. D. Sarma
{"title":"A Urysohn lemma for regular spaces","authors":"Ankit Gupta, R. D. Sarma","doi":"10.4995/agt.2022.16720","DOIUrl":"https://doi.org/10.4995/agt.2022.16720","url":null,"abstract":"Using the concept of m-open sets, M-regularity and M-normality are introduced and investigated. Both these notions are closed under arbitrary product. M-normal spaces are found to satisfy a result similar to Urysohn lemma. It is shown that closed sets can be separated by m-continuous functions in a regular space.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"45 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79742411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Zariski topology on the spectrum of fuzzy classical primary submodules 模糊经典主子模谱上的Zariski拓扑
IF 0.8
Applied general topology Pub Date : 2022-10-03 DOI: 10.4995/agt.2022.17427
P. Panpho, P. Yiarayong
{"title":"Zariski topology on the spectrum of fuzzy classical primary submodules","authors":"P. Panpho, P. Yiarayong","doi":"10.4995/agt.2022.17427","DOIUrl":"https://doi.org/10.4995/agt.2022.17427","url":null,"abstract":"Let R be a commutative ring with identity and M a unitary R-module. The fuzzy classical primary spectrum F cp.spec(M) is the collection of all fuzzy classical primary submodules A of M, the recent generalization of fuzzy primary ideals and fuzzy classical prime submodules. In this paper, we topologize FM(M) with a topology having the fuzzy primary Zariski topology on the fuzzy classical primary spectrum F cp.spec(M) as a subspace topology, and investigate the properties of this topological space.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"20 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73843635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the group of homeomorphisms on R: A revisit 关于R上的同胚群的研究
IF 0.8
Applied general topology Pub Date : 2022-10-03 DOI: 10.4995/agt.2022.16143
K. Ali Akbar, T. Mubeena
{"title":"On the group of homeomorphisms on R: A revisit","authors":"K. Ali Akbar, T. Mubeena","doi":"10.4995/agt.2022.16143","DOIUrl":"https://doi.org/10.4995/agt.2022.16143","url":null,"abstract":" In this article, we prove that the group of all increasing homeomorphisms on R has exactly five normal subgroups, and the group of all homeomorphisms on R has exactly four normal subgroups. There are several results known about the group of homeomorphisms on R and about the group of increasing homeomorphisms on R ([2], [6], [7] and [8]), but beyond this there is virtually nothing in the literature concerning the topological structure in the aspects of topological dynamics. In this paper, we analyze this structure in some detail.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"23 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86682869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The largest topological ring of functions endowed with the m-topology 具有m拓扑的函数的最大拓扑环
IF 0.8
Applied general topology Pub Date : 2022-10-03 DOI: 10.4995/agt.2022.17080
T. Chauhan, V. Jindal
{"title":"The largest topological ring of functions endowed with the m-topology","authors":"T. Chauhan, V. Jindal","doi":"10.4995/agt.2022.17080","DOIUrl":"https://doi.org/10.4995/agt.2022.17080","url":null,"abstract":"The purpose of this article is to identify the largest subring of the ring of all real valued functions on a Tychonoff space X, which forms a topological ring endowed with the m-topology.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"1983 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82212457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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