New posts in compactness

Nested sequence of non-empty compact subsets - intersection differs from empty set

general-topology proof-verification compactness

Proving that a metric space is a group

general-topology group-theory metric-spaces compactness topological-groups

In a compact space, every net has a convergent subnet

general-topology compactness nets

the product of topological spaces is compact, then each of its factors is compact.

general-topology compactness

If $A$ and $B$ are compact, then so is $A+B$.

functional-analysis compactness topological-vector-spaces sumset

Show compactness with Arzelà–Ascoli

functional-analysis compactness

$G_\delta$ singletons in compact Hausdorff and first countability

general-topology compactness

How many points does Stone-Čech compactification add?

general-topology compactness

Why is the set $ \mathbb{Z}_{+} \times \{a, b \}$ limit point compact?

general-topology compactness

Weakly compact implies bounded in norm [duplicate]

general-topology functional-analysis banach-spaces compactness normed-spaces

Is the unit circle the only infinite compact subgroup of the multiplicative group of non-zero complex numbers?

group-theory analysis compactness infinite-groups

What is the one-point compactification of $\mathbb{Z}_{+}$?

general-topology compactness

Motivation for the Definition of Compact Space

general-topology definition compactness education motivation

What does it REALLY mean for a metric space to be compact? [duplicate]

general-topology metric-spaces compactness

Prob. 7 (b), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: A shrinking self-map of a compact metric space has a unique fixed point

general-topology metric-spaces compactness fixed-point-theorems fixed-points

Does there exist a topology for a set $X$ which is compact and Hausdorff?

general-topology compactness

A relative compactness criterion in $\ell^p$

functional-analysis compactness lp-spaces

$[0,1]^{\mathbb{N}}$ with respect to the box topology is not compact

general-topology compactness box-topology

continuous image of a locally compact space is locally compact

general-topology proof-verification compactness open-map

Connected and Compact preserving function is not continuous example?

general-topology compactness examples-counterexamples connectedness