[EN] We show that if a product space $\mathit\Pi$ has countable cellularity, then a dense subspace $X$ of $\mathit\Pi$ is Baire provided that all projections of $X$ to countable subproducts of $\mathit\Pi$ are Baire. It ...
[EN] Suppose F is a totally ordered field equipped with its order topology
and X a completely F-regular topological space. Suppose P is an ideal
of closed sets in X and X is locally-P. Let CP(X, F) = {f : X ! F | f
is ...
Karlova, Olena(Editorial Universitat Politècnica de València, 2015-04-01)
[EN] We prove that every C∗ -embedded subset of S2 is a hereditarily Baire subspace of R2. We also show
that for a subspace E ⊆ {(x, −x) : x ∈ R} of the Sorgenfrey plane S2 the following conditions are
equivalent:
(i) ...
[EN] Following Van Douwen, a topological space is said to be nodec if it
satisfies one of the following equivalent conditions:
(i) every nowhere dense subset of X, is closed;
(ii) every nowhere dense subset of X, is ...