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The (dis)connectedness of products of Hausdorff spaces in the box topology 盒拓扑中Hausdorff空间乘积的（不）连通性
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2022-03-02 DOI: 10.14712/1213-7243.2022.001
 Chatyrko Vitalij A.
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引用次数: 0
Seeking a network characterization of Corson compacta 寻找一种松紧体的网络表征
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2022-03-02 DOI: 10.14712/1213-7243.2022.002
 Feng Ziqin
{"title":"Seeking a network characterization of Corson compacta","authors":" Feng Ziqin","doi":"10.14712/1213-7243.2022.002","DOIUrl":"https://doi.org/10.14712/1213-7243.2022.002","url":null,"abstract":"","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42934056","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
Further generalized versions of Ilmanen's lemma on insertion of $C^{1,omega}$ or $C^{1,omega}_{text{rm loc}}$ functions 关于$C^{1，omega}$或$C^{1，omega}_{text{rm loc}}$函数插入的Ilmanen引理的进一步推广版本
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2022-03-02 DOI: 10.14712/1213-7243.2021.031
 Kryštof Václav
{"title":"Further generalized versions of Ilmanen's lemma on insertion of $C^{1,omega}$ or $C^{1,omega}_{text{rm loc}}$ functions","authors":" Kryštof Václav","doi":"10.14712/1213-7243.2021.031","DOIUrl":"https://doi.org/10.14712/1213-7243.2021.031","url":null,"abstract":"","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45628931","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 hereditary normality of $omega ^*$, Kunen points and character $omega_{1}$ 关于$omega^*$、Kunen点和字符$omega的遗传正规性$
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2022-03-02 DOI: 10.14712/1213-7243.2021.032
 Logunov Sergei
{"title":"On hereditary normality of $omega ^*$, Kunen points and character $omega_{1}$","authors":" Logunov Sergei","doi":"10.14712/1213-7243.2021.032","DOIUrl":"https://doi.org/10.14712/1213-7243.2021.032","url":null,"abstract":"","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43200172","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
Generalized regression estimation for continuous time processes with values in functional spaces 函数空间中具有值的连续时间过程的广义回归估计
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2022-03-02 DOI: 10.14712/1213-7243.2022.003
 Maillot Bertrand, Chesneau Christophe
{"title":"Generalized regression estimation for continuous time processes with values in functional spaces","authors":" Maillot Bertrand, Chesneau Christophe","doi":"10.14712/1213-7243.2022.003","DOIUrl":"https://doi.org/10.14712/1213-7243.2022.003","url":null,"abstract":"","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41422769","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
Limited $p$-converging operators and relation with some geometric properties of Banach spaces 有限$p$收敛算子及其与Banach空间某些几何性质的关系
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2022-03-02 DOI: 10.14712/1213-7243.2021.030
 Dehghani Mohammad B., Moshtaghioun Seyed M.
{"title":"Limited $p$-converging operators and relation with some geometric properties of Banach spaces","authors":" Dehghani Mohammad B., Moshtaghioun Seyed M.","doi":"10.14712/1213-7243.2021.030","DOIUrl":"https://doi.org/10.14712/1213-7243.2021.030","url":null,"abstract":"","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67039391","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: 4
Bihyperbolic numbers of the Fibonacci type and their idempotent representation 斐波那契类型的双曲数及其幂等表示
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2022-03-02 DOI: 10.14712/1213-7243.2021.033
 Bród Dorota, Szynal-Liana Anetta, Włoch Iwona
{"title":"Bihyperbolic numbers of the Fibonacci type and their idempotent representation","authors":" Bród Dorota, Szynal-Liana Anetta, Włoch Iwona","doi":"10.14712/1213-7243.2021.033","DOIUrl":"https://doi.org/10.14712/1213-7243.2021.033","url":null,"abstract":"","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42620792","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: 2
A study of universal elements in classes of bases of topological spaces 拓扑空间基类中泛元的研究
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2022-03-02 DOI: 10.14712/1213-7243.2021.027
 Georgiou Dimitris N., Megaritis Athanasios C., Naidoo Inderasan, Sereti Fotini
{"title":"A study of universal elements in classes of bases of topological spaces","authors":" Georgiou Dimitris N., Megaritis Athanasios C., Naidoo Inderasan, Sereti Fotini","doi":"10.14712/1213-7243.2021.027","DOIUrl":"https://doi.org/10.14712/1213-7243.2021.027","url":null,"abstract":"","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":" ","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44505701","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 Golomb space is topologically rigid Golomb空间是拓扑刚性的
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2021-10-28 DOI: 10.14712/1213-7243.2021.023
 Banakh Taras, Spirito Dario, Turek Sławomir
{"title":"The Golomb space is topologically rigid","authors":" Banakh Taras, Spirito Dario, Turek Sławomir","doi":"10.14712/1213-7243.2021.023","DOIUrl":"https://doi.org/10.14712/1213-7243.2021.023","url":null,"abstract":"The $Golomb$ $space$ $mathbb N_tau$ is the set $mathbb N$ of positive integers endowed with the topology $tau$ generated by the base consisting of arithmetic progressions ${a+bn:nge 0}$ with coprime $a,b$. We prove that the Golomb space $mathbb N_tau$ is topologically rigid in the sense that its homeomorphism group is trivial. This resolves a problem posed by the first author at Mathoverflow in 2017.","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78122263","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: 8
Chromatic number of the product of graphs, graph homomorphisms, antichains and cofinal subsets of posets without AC 无AC的图、图同态、反链和偏序集的余子集的乘积的色数
IF 0.2
Commentationes Mathematicae Universitatis Carolinae Pub Date : 2021-10-28 DOI: 10.14712/1213-7243.2021.028
 Banerjee Amitayu, Gyenis Zalán
{"title":"Chromatic number of the product of graphs, graph homomorphisms, antichains and cofinal subsets of posets without AC","authors":" Banerjee Amitayu, Gyenis Zalán","doi":"10.14712/1213-7243.2021.028","DOIUrl":"https://doi.org/10.14712/1213-7243.2021.028","url":null,"abstract":"We have observations concerning the set theoretic strength of the following combinatorial statements without the axiom of choice. 1. If in a partially ordered set, all chains are finite and all antichains are countable, then the set is countable. 2. If in a partially ordered set, all chains are finite and all antichains have size $aleph_{alpha}$, then the set has size $aleph_{alpha}$ for any regular $aleph_{alpha}$. 3. CS (Every partially ordered set without a maximal element has two disjoint cofinal subsets). 4. CWF (Every partially ordered set has a cofinal well-founded subset). 5. DT (Dilworth's decomposition theorem for infinite p.o.sets of finite width). 6. If the chromatic number of a graph $G_{1}$ is finite (say $k<omega$), and the chromatic number of another graph $G_{2}$ is infinite, then the chromatic number of $G_{1}times G_{2}$ is $k$. 7. For an infinite graph $G=(V_{G}, E_{G})$ and a finite graph $H=(V_{H}, E_{H})$, if every finite subgraph of $G$ has a homomorphism into $H$, then so has $G$. Further we study a few statements restricted to linearly-ordered structures without the axiom of choice.","PeriodicalId":44396,"journal":{"name":"Commentationes Mathematicae Universitatis Carolinae","volume":"144 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79816667","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: 4
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