Newbetuts

Show that the infinite intersection of nested non-empty closed subsets of a compact space is not empty

Is the Baire space $\sigma$-compact?

Compactness in $\mathbb{Q}$

A continuous function such that the inverse image of a bounded set is bounded

Why is a Zariski closed set compact under the Zariski topology?

Why sets that aren't closed can't be compact?

Explain the argument used in the answer

How far is being star compact from being countably compact？

Can compacts on a real line behave "paradoxically" with respect to unions, intersections, and translation? What about other topological groups?

Is there a direct proof that a compact unit ball implies automatic continuity?

Prob. 17, Chap. 2, in Baby Rudin: The set of all numbers in $[0,1]$ with only $4$ and $7$ as decimal digits is countable, dense, compact, perfect?

Continuous function from a compact space to a Hausdorff space is a closed function

A non-compact topological space where every continuous real map attains max and min

Subset of $\ell^2$ which is closed and bounded, but not compact [closed]

Show that every compact metrizable space has a countable basis

New posts in compactness

Study some topological properties of $I^{\aleph_0}\times I^2/M$

Is there a "tree-like" proof of compactness theorem in the case of uncountably many variables?

Prove that every compact metric space is separable

perfect map in topology

Spaces in which "$A \cap K$ is closed for all compact $K$" implies "$A$ is closed."

Show that the infinite intersection of nested non-empty closed subsets of a compact space is not empty

Is the Baire space $\sigma$-compact?

Compactness in $\mathbb{Q}$

A continuous function such that the inverse image of a bounded set is bounded

Why is a Zariski closed set compact under the Zariski topology?

Why sets that aren't closed can't be compact?

Explain the argument used in the answer

How far is being star compact from being countably compact？

Can compacts on a real line behave "paradoxically" with respect to unions, intersections, and translation? What about other topological groups?

Is there a direct proof that a compact unit ball implies automatic continuity?

Prob. 17, Chap. 2, in Baby Rudin: The set of all numbers in $[0,1]$ with only $4$ and $7$ as decimal digits is countable, dense, compact, perfect?

Continuous function from a compact space to a Hausdorff space is a closed function

A non-compact topological space where every continuous real map attains max and min

Subset of $\ell^2$ which is closed and bounded, but not compact [closed]

Show that every compact metrizable space has a countable basis