On the character and \(\pi\)-weight of homogeneous compacta.

DOI10.1007/BF02773072zbMath1039.54003MaRDI QIDQ1870920

Jan van Mill

Publication date: 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

characterweighthomogeneous compactum

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35) Base properties of topological spaces (54D70)

Related Items (8)

On a theorem of Van Mill ⋮ Noetherian types of homogeneous compacta and dyadic compacta ⋮ Amalgams, connectifications, and homogeneous compacta ⋮ Forbidden rectangles in compacta ⋮ On the cardinality of power homogeneous compacta ⋮ Homogeneity of powers of spaces and the character ⋮ A note on an example by van Mill ⋮ Nonhomogeneity of remainders

Cites Work

• A compact space with a measure that knows which sets are homeomorphic
• Set theory. An introduction to independence proofs
• A homogeneous Eberlein compact space which is not metrizable
• On classes of compactifications which are always singular
• On the combinatorial principle P(c)
• Topological homogeneity. Topological groups and their continuous images
• Nonhomogeneity of Products of Preimages and π-Weight
• Homogeneity in powers of subspaces of the real line
• Homogeneity in powers of zero-dimensional first-countable spaces
• Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles I
• Sums of ultrafilters
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