Compacta and homogeneity. some globalization effects

DOI10.1016/j.topol.2019.02.026zbMath1420.54006OpenAlexW2920030576WikidataQ128310285 ScholiaQ128310285MaRDI QIDQ2415922

Alexander V. Arhangel'skii

Publication date: 23 May 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2019.02.026

zbMATH Keywords

tightnesshomogeneousfree sequencefirst-countableisocompactmetalindelöf

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Subspaces in general topology (54B05)

Cites Work

• Homogeneity problems in the theory of Cech compactifications
• Topological groups and related structures
• On the product of homogeneous spaces
• On the cardinality of power homogeneous compacta
• A homogeneous extremally disconnected countably compact space
• Diagonal structures on topological spaces
• A new bound on the cardinality of homogeneous compacta
• The compactness of countably compact spaces
• STRUCTURE AND CLASSIFICATION OF TOPOLOGICAL SPACES AND CARDINAL INVARIANTS
• Convergent Free Sequences in Compact Spaces
• Nonhomogeneity of Products of Preimages and π-Weight
• Homogeneity in powers of zero-dimensional first-countable spaces
• Homogeneity of powers of spaces and the character
• Sums of ultrafilters
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