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Fundamenta Mathematicae最新文献

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More on uniform ultrafilters over a singular cardinal 更多关于单一基数上的均匀超滤
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm845-5-2020
M. Gitik
{"title":"More on uniform ultrafilters over a singular cardinal","authors":"M. Gitik","doi":"10.4064/fm845-5-2020","DOIUrl":"https://doi.org/10.4064/fm845-5-2020","url":null,"abstract":". We present some new results related to the character of uniform ultrafilters over a singular cardinal and the ultrafilter number.","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":"70394162","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
Vaught’s conjecture for theories admittingfinite monomorphic decompositions 承认有限单态分解的理论的沃特猜想
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm967-11-2020
Miloš S. Kurilić
{"title":"Vaught’s conjecture for theories admitting\u0000finite monomorphic decompositions","authors":"Miloš S. Kurilić","doi":"10.4064/fm967-11-2020","DOIUrl":"https://doi.org/10.4064/fm967-11-2020","url":null,"abstract":". An infinite linear order with finitely many unary relations (colors), (cid:104) X, <, U 0 , . . . , U n − 1 (cid:105) , is a good colored linear order iff the largest convex partition of the set X refining the partition generated by the sets U j , j < n , is finite. The class of relational structures which are definable in such structures by formulas without quantifiers coin-cides with the class of relational structures admitting finite monomorphic decompositions (briefly, FMD structures) introduced and investigated by Pouzet and Thiéry. We show that a complete theory T of a relational language L having infinite models has an FMD model iff all models of T are FMD, and call such theories FMD theories. For an FMD theory T we detect a definable partition of its models, adjoin a family of monomorphic relations to T and confirm Vaught’s conjecture, showing that T has either one or continuum many non-isomorphic countable models.","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":"70407003","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
Elements of order 2 in $beta mathbb{N}$ $beta mathbb{N}$中2阶的元素
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm902-5-2020
Y. Zelenyuk
{"title":"Elements of order 2 in $beta mathbb{N}$","authors":"Y. Zelenyuk","doi":"10.4064/fm902-5-2020","DOIUrl":"https://doi.org/10.4064/fm902-5-2020","url":null,"abstract":"","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"252 1","pages":"355-359"},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70401741","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: 4
There are exactly $omega _1$ topological types of locally finite trees with countably many rays 具有可数条射线的局部有限树的拓扑类型确实存在
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm54-4-2021
J. Bruno, P. Szeptycki
{"title":"There are exactly $omega _1$ topological types of locally finite trees with countably many rays","authors":"J. Bruno, P. Szeptycki","doi":"10.4064/fm54-4-2021","DOIUrl":"https://doi.org/10.4064/fm54-4-2021","url":null,"abstract":"","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"158 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70340259","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
A Sacks amoeba preserving distributivity of $mathcal {P}(omega )/mathrm {fin}$ 保持$mathcal {P}(omega)/ mathm {fin}$的分布性的Sacks变形虫
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/FM961-9-2020
O. Spinas, Wolfgang Wohofsky
{"title":"A Sacks amoeba preserving distributivity of $mathcal {P}(omega )/mathrm {fin}$","authors":"O. Spinas, Wolfgang Wohofsky","doi":"10.4064/FM961-9-2020","DOIUrl":"https://doi.org/10.4064/FM961-9-2020","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":"70406723","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
Borel chromatic numbers of graphs of commuting functions 交换函数图的Borel色数
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm577-5-2020
C. Meehan, Konstantinos Palamourdas
{"title":"Borel chromatic numbers of graphs of commuting functions","authors":"C. Meehan, Konstantinos Palamourdas","doi":"10.4064/fm577-5-2020","DOIUrl":"https://doi.org/10.4064/fm577-5-2020","url":null,"abstract":"Let D = (X,D) be a Borel directed graph on a standard Borel space X and let χB(D) be its Borel chromatic number. If F0, . . . , Fn−1 : X → X are Borel functions, let DF0,...,Fn−1 be the directed graph that they generate. It is an open problem if χB(DF0,...,Fn−1) ∈ {1, . . . , 2n + 1,א0}. This was verified for commuting functions with no fixed points. We show here that for commuting functions with the properties that χB(DF0,...,Fn−1) < א0 and that there is a path from each x ∈ X to a fixed point of some Fj , there exists an increasing filtration {Xm}m<ω with X = ⋃ m<ωXm such that χB(DF0,...,Fn−1 Xm) ≤ 2n for each m. We also prove that if n = 2 in the previous case, then χB(DF0,F1) ≤ 4. It follows that the approximate measure chromatic number χ ap M (D) does not exceed 2n+ 1 when the functions commute.","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":"70346364","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
Parametrizing by the Ellentuck space 由Ellentuck空间参数化
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm86-6-2021
Timothy Trujillo
{"title":"Parametrizing by the Ellentuck space","authors":"Timothy Trujillo","doi":"10.4064/fm86-6-2021","DOIUrl":"https://doi.org/10.4064/fm86-6-2021","url":null,"abstract":"We introduce a new construct that can be used to parametrize a topological Ramsey space by the collection of infinite subsets of natural numbers. We show that these parametrized spaces are topological Ramsey spaces. Then we prove a canonical Ramsey theorem for some of the parametrized spaces arising from the construction and conclude with some open questions concerning applications of these canonical Ramsey theorems to the Tukey theory of ultrafilters.","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":"70396488","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
Definable Hamel bases and ${sf AC}_omega ({mathbb R})$ 可定义的Hamel基和${sf AC}_omega ({mathbb R})$
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2021-01-01 DOI: 10.4064/fm909-6-2020
V. Kanovei, R. Schindler
{"title":"Definable Hamel bases and ${sf AC}_omega ({mathbb R})$","authors":"V. Kanovei, R. Schindler","doi":"10.4064/fm909-6-2020","DOIUrl":"https://doi.org/10.4064/fm909-6-2020","url":null,"abstract":"","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":"253 1","pages":"239-256"},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70402335","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
Quantitative equidistribution of angles of multipliers 乘数角度的定量均分
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2020-12-28 DOI: 10.4064/fm63-7-2021
Yan Mary He, Hongming Nie
{"title":"Quantitative equidistribution of angles of multipliers","authors":"Yan Mary He, Hongming Nie","doi":"10.4064/fm63-7-2021","DOIUrl":"https://doi.org/10.4064/fm63-7-2021","url":null,"abstract":"We study angles of multipliers of repelling cycles for hyperbolic rational maps in $mathbb C(z)$. For a fixed $K gg 1$, we show that almost all intervals of length $2pi/K$ in $(-pi,pi]$ contain a multiplier angle with the property that the norm of the multiplier is bounded above by a polynomial in $K$.","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45889775","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
Local coloring problems on smooth graphs 光滑图上的局部着色问题
IF 0.6 3区 数学
Fundamenta Mathematicae Pub Date : 2020-12-20 DOI: 10.4064/fm6-5-2021
Anton Bernshteyn
{"title":"Local coloring problems on smooth graphs","authors":"Anton Bernshteyn","doi":"10.4064/fm6-5-2021","DOIUrl":"https://doi.org/10.4064/fm6-5-2021","url":null,"abstract":"We construct a smooth locally finite Borel graphG and a local coloring problem Π such thatG has a coloring V(G)→N that solves Π, but no such coloring can be Borel.","PeriodicalId":55138,"journal":{"name":"Fundamenta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47132878","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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