List questions from path-connected | MathQa

Does path-connected imply simple path-connected?

Published on 12 Jan 2025 - 19:32

Is a path-connected bijection $f\colon \Bbb{R}^n \to \Bbb{R}^n$ continuous?

Published on 12 Jan 2025 - 20:07

Space which is connected but not path-connected

Published on 12 Jan 2025 - 19:32

$X \subseteq M(n,\mathbb C) ; |X|>1 ; $ connected/path connected, what about $S:=\{x \in \mathbb C : x $ is an eigenvalue of some matrix in $X\}$?

Published on 12 Jan 2025 - 20:30

Is path-connected a homotopy property of toplogical spaces?

Published on 12 Jan 2025 - 19:53

Is the unit sphere in $\Bbb R^4$ path connected?

Published on 12 Jan 2025 - 19:22

how to know whether a subset of euclidean space is path connected or not?(2)

Published on 12 Jan 2025 - 20:14

Identifying some properties of a set

Published on 12 Jan 2025 - 19:09

Is this proof of path-connected $\implies$ connected correct?

Published on 12 Jan 2025 - 19:53

Equivalent definitions for simple connectivity

Published on 12 Jan 2025 - 19:28