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Fundamenta Mathematicae最新文献

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Filters on a countable vector space 可数向量空间上的滤波器
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-16 DOI: 10.4064/fm197-5-2022
Iian B. Smythe
{"title":"Filters on a countable vector space","authors":"Iian B. Smythe","doi":"10.4064/fm197-5-2022","DOIUrl":"https://doi.org/10.4064/fm197-5-2022","url":null,"abstract":"We study various combinatorial properties, and the implications between them, for filters generated by infinite-dimensional subspaces of a countable vector space. These properties are analogous to selectivity for ultrafilters on the natural numbers and stability for ordered-union ultrafilters on FIN.","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49076452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Mean dimension and a non-embeddable examplefor amenable group actions 均值维度与服从群体行为的不可嵌入示例
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-05 DOI: 10.4064/fm921-1-2021
Lei Jin, K. Park, Yixiao Qiao
{"title":"Mean dimension and a non-embeddable example\u0000for amenable group actions","authors":"Lei Jin, K. Park, Yixiao Qiao","doi":"10.4064/fm921-1-2021","DOIUrl":"https://doi.org/10.4064/fm921-1-2021","url":null,"abstract":". For every infinite (countable discrete) amenable group G and every positive integer d we construct a minimal G -action of mean dimension d/ 2 which cannot be embedded in the full G -shift on ([0 , 1] d ) G .","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45184918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Boolean-valued class forcing 布尔值类强制
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm20-7-2021
C. Antos, S. Friedman, V. Gitman
{"title":"Boolean-valued class forcing","authors":"C. Antos, S. Friedman, V. Gitman","doi":"10.4064/fm20-7-2021","DOIUrl":"https://doi.org/10.4064/fm20-7-2021","url":null,"abstract":"We show that the Boolean algebras approach to class forcing can be carried out in the theory Kelley-Morse plus the Choice Scheme (KM + CC) using hyperclass Boolean completions of class partial orders. Applying the Boolean algebras approach, we show that every intermediate model between a model V |= KM + CC and one of its class forcing extensions is itself a class forcing extension if and only if it is simple generated by the classes of V together with a single new class. We show that a model of KM + CC and its class forcing extension may have non-simple intermediate models, and thus, the Intermediate Model Theorem can fail for models of KM + CC.","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70253173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Indestructibility of Wholeness 整体的不可摧毁性
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm604-3-2020
P. Corazza
{"title":"Indestructibility of Wholeness","authors":"P. Corazza","doi":"10.4064/fm604-3-2020","DOIUrl":"https://doi.org/10.4064/fm604-3-2020","url":null,"abstract":". The Wholeness Axiom (WA) is an axiom schema that asserts the existence of a nontrivial elementary embedding from V to itself. The schema is formulated in the language {∈ , j } , where j is a unary function symbol intended to stand for the embedding. WA consists of an Elementarity schema that asserts j is an elementary embedding, a Critical Point axiom that asserts existence of a least ordinal moved, and a schema Separation j that asserts Separation holds for all instances of j -formulas. The theory ZFC + WA has been proposed in the author’s earlier papers as a natural axiomatic extension of ZFC to account for most of the known large cardinals. In this paper we offer evidence for the naturalness of this theory by showing that it is, like ZFC itself, indestructible by set forcing. We show first that if κ is the critical point of the embedding, then ZFC+WA is preserved by any notion of forcing that belongs to V κ . This step is nontrivial because to prove Separation j holds in the forcing extension after lifting the embedding, it is necessary to incorporate j into the definition of the forcing relation. Then for arbitrary notions of forcing, we introduce a different technique of lifting that lifts one of the original embedding’s applicative iterates.","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70353211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Jaworski-type embedding theorems of one-sided dynamical systems 单侧动力系统的jaworski型嵌入定理
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/FM894-6-2020
H. Kato
{"title":"Jaworski-type embedding theorems of one-sided dynamical systems","authors":"H. Kato","doi":"10.4064/FM894-6-2020","DOIUrl":"https://doi.org/10.4064/FM894-6-2020","url":null,"abstract":"","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"253 1","pages":"205-218"},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70400531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Truth definition for $Delta _ 0$ formulas and PSPACE computations $Delta _ 0$公式的真值定义和PSPACE计算
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm578-1-2020
K. Zdanowski
{"title":"Truth definition for $Delta _ 0$ formulas and PSPACE computations","authors":"K. Zdanowski","doi":"10.4064/fm578-1-2020","DOIUrl":"https://doi.org/10.4064/fm578-1-2020","url":null,"abstract":"","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"252 1","pages":"1-38"},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70346069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A degree-zero, monotone, surjective self-map of the Pontryagin surface 庞特里亚金曲面的零度、单调、满射自映射
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/FM766-1-2021
R. Daverman, T. L. Thickstun
{"title":"A degree-zero, monotone, surjective self-map of the Pontryagin surface","authors":"R. Daverman, T. L. Thickstun","doi":"10.4064/FM766-1-2021","DOIUrl":"https://doi.org/10.4064/FM766-1-2021","url":null,"abstract":". This paper presents an example, as promised by the title, of a degree-zero, monotone, surjective map of the standard Pontryagin surface to itself. This exposes the need for some hypothesis concerning degree in results about when monotone self-maps of the Pontryagin surface can be approximated by homeomorphisms.","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70382172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An ultrapower analogue of the Kronecker function ring 克罗内克函数环的超功率模拟
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm833-4-2020
K. Loper, D. Spirito
{"title":"An ultrapower analogue of the Kronecker function ring","authors":"K. Loper, D. Spirito","doi":"10.4064/fm833-4-2020","DOIUrl":"https://doi.org/10.4064/fm833-4-2020","url":null,"abstract":"We introduce an analogue of the Kronecker function ring construction in the ultrapower setting, and study when it gives a Bézout domain.","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new take on random interval homeomorphisms 关于随机区间同胚的新认识
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm904-10-2021
J. Morawiec, T. Zürcher
{"title":"A new take on random interval homeomorphisms","authors":"J. Morawiec, T. Zürcher","doi":"10.4064/fm904-10-2021","DOIUrl":"https://doi.org/10.4064/fm904-10-2021","url":null,"abstract":"","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70402301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the interrelation of a theorem of Juhász and certain weak axioms of choice 论Juhász的一个定理与若干弱选择公理的相互关系
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm37-2-2021
E. Tachtsis
{"title":"On the interrelation of a theorem of Juhász and certain weak axioms of choice","authors":"E. Tachtsis","doi":"10.4064/fm37-2-2021","DOIUrl":"https://doi.org/10.4064/fm37-2-2021","url":null,"abstract":"","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70308723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","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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