The topological product of countably compact spaces
Zdeněk Frolík (1960)
Czechoslovak Mathematical Journal
Similarity:
Displaying similar documents to “A topological property of beta(N).”
The topological product of countably compact spaces
On countable multiple point compactifications
A. Steiner, E. Steiner (1969)
Fundamenta Mathematicae
Similarity:
Point countable open coverings in countably compact spaces
Aquaro, G.
Similarity:
Closed embeddings into complements of -products
Aleksander V. Arhangel'skii, Miroslav Hušek (2008)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
In some sense, a dual property to that of Valdivia compact is considered, namely the property to be embedded as a closed subspace into a complement of a -subproduct of a Tikhonov cube. All locally compact spaces are co-Valdivia spaces (and only those among metrizable spaces or spaces having countable type). There are paracompact non-locally compact co-Valdivia spaces. A possibly new type of ultrafilters lying in between P-ultrafilters and weak P-ultrafilters is introduced. Under Martin...
On absolutely submetrizable spaces
Raushan Z. Buzyakova (2006)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We introduce a notion of absolute submetrizability (= ``every Tychonoff subtopology is submetrizable'') and investigate its behavior under basic topological operations. The main result is an example of an absolutely submetrizable space that contains an uncountable set of isolated points (hence the space is neither separable nor hereditarily Lindelöf). This example is used to show that absolute submetrizability is not preserved by some topological operations, in particular, by free sums. ...