List questions from general-topology

Published on 29 Apr 2026 - 12:25

49

Views

On a proof about rational functions and connected components

Published on 14 Apr 2026 - 16:02

123

Views

Understanding the definition of the projective sphere and quotient spaces

Published on 10 Apr 2026 - 15:41

461

Views

Locally compact topological group is paracompact

Published on 29 Apr 2026 - 12:52

103

Views

Find a continuous bijection with an noncontinuous inverse in metric spaces

Published on 15 Apr 2026 - 19:46

565

Views

Why is in the definition of the space of continuous functions vanishing at infinity from a space $Ω$ to $ℝ$, $Ω$ often assumed to be locally compact?

Published on 12 Apr 2026 - 5:36

495

Views

Non-metrizable smooth manifold?

Published on 13 Apr 2026 - 20:40

138

Views

Proving $\cup_{j\in J} A_j$ is connected.

Published on 22 Apr 2026 - 1:24

51

Views

Graph of a Set of Complex Numbers satisfying a Particular Condition

Published on 16 Apr 2026 - 21:21

135

Views

Preimage under $f$ of any closed set is closed.

Published on 15 Apr 2026 - 7:33

29

Views

Bound of Metrics for Renormalizing Space

Published on 14 Apr 2026 - 7:52

72

Views

Connectedness of $GL_n(\mathbf{R}^{+})

Published on 16 Apr 2026 - 22:36

435

Views

Proving $\overline{A}$ is connected

Published on 22 Apr 2026 - 1:13

626

Views

Is $\mathbb{R}^4$ minus a line simply connected?

Published on 11 Apr 2026 - 22:33

439

Views

One point compactification for open annulus

Published on 16 Apr 2026 - 2:00

List Question

Metrizability of $\Bbb{R}^I$ and the Sequence Lemma

On a proof about rational functions and connected components

Understanding the definition of the projective sphere and quotient spaces

Locally compact topological group is paracompact

Find a continuous bijection with an noncontinuous inverse in metric spaces

Why is in the definition of the space of continuous functions vanishing at infinity from a space $Ω$ to $ℝ$, $Ω$ often assumed to be locally compact?

Non-metrizable smooth manifold?

Proving $\cup_{j\in J} A_j$ is connected.

Graph of a Set of Complex Numbers satisfying a Particular Condition

Preimage under $f$ of any closed set is closed.

Bound of Metrics for Renormalizing Space

Connectedness of $GL_n(\mathbf{R}^{+})

Proving $\overline{A}$ is connected

Is $\mathbb{R}^4$ minus a line simply connected?

One point compactification for open annulus

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