List questions from compactness | MathQa

What is the definition of sequential precompactness?

Published on 30 Dec 2024 - 8:47

Image of a precompact under the action of uniformly continuous function is a precompact

Published on 03 Jan 2025 - 6:22

A line is simply connected but a circle is not. Does this mean that the one-point compactification of the real line is not simply connected?

Published on 28 Dec 2024 - 2:07

Set of all contraction maps

Published on 12 Jan 2025 - 18:09

star compact Hausdorff is countably compact

Published on 03 Jan 2025 - 6:37

Prove that a decreasing sequence of compact sets converges in the Hausdorff metric

Published on 01 Jan 2025 - 23:11

Proving non compactness of a space

Published on 02 Jan 2025 - 10:14

Continuous bijection is a homeomorphism

Published on 03 Jan 2025 - 6:15

Compactness of a family of closed subsets in a compact space.

Published on 03 Jan 2025 - 6:49

$\beta\mathbb{N}$ is embedded in $\beta\mathbb{R}$

Published on 03 Jan 2025 - 6:49