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Results tagged with set-theory
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user 39873
forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.
4
votes
0
answers
79
views
Is $c(\mathcal M(X)) = c(X)$ for any first countable regular space?
G.M. Reed developed a construction technique which associates
a Moore space $\mathcal M(X)$ to each regular first-countable space $X$ such that $\mathcal M(X)$ is separable
(respectively, locally sepa …
- 621
1
vote
0
answers
87
views
Are there results on cardinal function using o-tightness?
Recall that a space $X$ has countable $o$-tightness, if for every family $\mathcal U$ of open sets of $X$
and for each $x \in X$ with $x \in \overline{\bigcup \mathcal U}$, there exists a countable su …
- 621
5
votes
2
answers
212
views
A result on spaces with countable pseudocharacter and countable tightness
There is a statement as follows:
If a Hausdorff (regular, Tychonoff) space $X$ has countable pseudocharacter and countable tightness, then the closure of any set $Y\subset X$ of cardinality $\le \ …
- 621