Tukey order and diversity of free abelian topological groups

DOI10.1016/J.JPAA.2021.106712zbMath1483.22003OpenAlexW3131864111MaRDI QIDQ2031572

P. M. Gartside

Publication date: 9 June 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2021.106712

zbMATH Keywords

free abelian topological groupTikhonov spaceTukey order

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Combinatorics of partially ordered sets (06A07) Descriptive set theory (03E15) Topological groups (topological aspects) (54H11) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (1)

$P$-bases and topological groups

Cites Work

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• Free topological groups over metrizable spaces
• Tukey order, calibres and the rationals
• THE TUKEY ORDER ON COMPACT SUBSETS OF SEPARABLE METRIC SPACES
• On topological groups admitting a base at the identity indexed by $\omega ^{\omega }$
• Products of k-Spaces and Spaces of Countable Tightness
• Cofinal Families of Compact Subsets of an Analytic Set
• The free abelian topological group as a subgroup of the free locally convex topological vector space
• The character of free topological groups I
• The character of free topological groups II

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