4 papers · 1 filter
On spaces in countable web
Mikhail Matveev
We show that a Tychonoff discretely star-Lindelof space can have arbitrarily big extent and note that there are consistent examples of normal discretely star-Lindelof spaces with u…
How weak is weak extent?
Mikhail Matveev
A space X is star-Lindelof provided for every open cover U there is a finite subset A of X such that St(A,U)=X. We show that a Tychonoff star-Lindelof space can have arbitraryly bi…
Cardinal p and a theorem of Pelczynski
Mikhail Matveev
We show that it is consistent that for some uncountable cardinal k, all compactifications of the countable discrete space with remainders homeomorphic to are homeomorphic to…
Answering a question on relative countable paracompactness
Mikhail Matveev
We answer a question of Yasui. Morever, we show that if a Tychonoff space Y is countably 1-paracompact in every Tychonoff space X that contains Y as a closed subspace then Y is lin…