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Results tagged with gn.general-topology
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user 121994
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
8
votes
Accepted
Scattered hereditarily separable does not imply countable in ZFC
As clarified in the comments, the existence of a regular S-space is independent of ZFC, but a "real" $T_2$ example can be constructed by taking a well-ordering of a set of reals in order type $\omega_ …
- 151
4
votes
Accepted
$i$-weight of a metrizable space
Countable powers of copies of $H(\kappa)$, the hedghog space of spininess $\kappa$, are universal for metrizable spaces of weight $\kappa$ (i.e., any metrizable space of weight $\kappa$ embeds into su …
- 151