Two different definitions of locally compact spaces
158814
Two definitions of locally compact space
71011
Criteria of compactness of an operator
16649
Topological space with countable open cover $\{U_\alpha\} $ with each $U_\alpha$ second-countable, is second countable
128266
Dual Spaces and Natural maps
8334
A reflexive Banach space is separable iff its dual is separable
64375
Non-Metrizable Topological Spaces
80414
Countable Product of Sequentially Compact spaces is Sequentially Compact
4171
If $f$ is locally Lipschitz on $X$ and $X$ is compact, then $f$ is Lipschitz on $X$.
100560
$X$ compact Hausdorff space, characterize the maximal ideals of $C(X)$
22464
Which of the following subsets of   $\mathbb{R}^2$ are compact
39076
Contraction of compact sets
148994
$K \subset \mathbb{R}^n$ is compact iff it is closed and bounded
33140
Two non-homeomorphic spaces with continuous bijective functions in both directions
111360
Topological spaces in which every proper closed subset is compact
81471
Finite dimensional spaces
8015
Compact set plus a closed set is a closed set
47810
$C(X)$ is separable when $X$ is compact?