Newbetuts

What does it mean that "compactification is defined only with respect to the topology of the base space"?

For two disjoint compact subsets $A$ and $B$ of a metric space $(X,d)$ show that $d(A,B)>0.$ [duplicate]

Motivation of paracompactness

Are there non-Hausdorff examples of maximal compact topologies in the lattice of topologies on a set?

M compact $p\in M$ , there exist $f:M-p\to M-p$ continuous bijection but not homeomorphism?

Why don't we use closed covers to define compactness of metric space?

Can compact sets completey determine a topology?

proof that on a compact manifold a vector field is complete

Let $(M,d)$ be a compact metric space and $f:M \to M$ such that $d(f(x),f(y)) \ge d(x,y) , \forall x,y \in M$ , then $f$ is isometry?

Smash product of compact spaces

Uniqueness of one-point compactification, problem with proof [duplicate]

Proving that sequentially compact spaces are compact.

How is every subset of the set of reals with the finite complement topology compact?

Most astonishing applications of compactness theorem outside logic

Orthogonal matrices form a compact set [duplicate]

New posts in compactness

Fixed Set Property?

Compactly supported continuous function is uniformly continuous

Is a space compact iff it is closed as a subspace of any other space?

Closed set mapped to itself in a compact Hausdorff space

Nonhomeomorphic subsets of the plane

What does it mean that "compactification is defined only with respect to the topology of the base space"?

For two disjoint compact subsets $A$ and $B$ of a metric space $(X,d)$ show that $d(A,B)>0.$ [duplicate]

Motivation of paracompactness

Are there non-Hausdorff examples of maximal compact topologies in the lattice of topologies on a set?

M compact $p\in M$ , there exist $f:M-p\to M-p$ continuous bijection but not homeomorphism?

Why don't we use closed covers to define compactness of metric space?

Can compact sets completey determine a topology?

proof that on a compact manifold a vector field is complete

Let $(M,d)$ be a compact metric space and $f:M \to M$ such that $d(f(x),f(y)) \ge d(x,y) , \forall x,y \in M$ , then $f$ is isometry?

Smash product of compact spaces

Uniqueness of one-point compactification, problem with proof [duplicate]

Proving that sequentially compact spaces are compact.

How is every subset of the set of reals with the finite complement topology compact?

Most astonishing applications of compactness theorem outside logic

Orthogonal matrices form a compact set [duplicate]