Question

Proving $(A\times B)'\supset A'\times B'$

score 34 · Answer 1 · 2026-04-29 04:04:49

34

Views

Proving $(A\times B)'\supset A'\times B'$

Published on 29 Apr 2026 - 4:04

score 81 · Answer 2 · 2026-04-16 23:03:21

81

Views

Has the map $f:S^2 \to \mathbb{R} $ an antipodal point with the same image?

Published on 16 Apr 2026 - 23:03

score 545 · Answer 3 · 2026-04-16 00:34:38

Prove that a point $x$ is an accumulation point of $A$ iff $x$ is in $\overline{A\setminus{\{x}\}}$ in a Hausdorff topological space.

score 47 · Answer 4 · 2026-04-16 09:15:11

47

Views

Is this a basis for the Scott topology on the collection of open sets of a topology?

Published on 16 Apr 2026 - 9:15

score 286 · Answer 5 · 2026-04-15 22:46:10

286

Views

Proving $(\mathbb{R},\mathcal{T}_{cf}), (\mathbb{R},\mathcal{T}_u)$ are not homeomorphic

Published on 15 Apr 2026 - 22:46

score 41 · Answer 6 · 2026-04-15 19:42:41

Extending in topology: $M\backslash \overline{A} = \text{int }(M \backslash A)$ and $M \backslash \text{int } (A) = \overline{M \backslash A} $

score 38 · Answer 7 · 2026-04-29 04:05:29

38

Views

Proving $\mathbb{R}^n$ bounded implies $-M\leqslant x_i\leqslant M$

Published on 29 Apr 2026 - 4:05

score 239 · Answer 8 · 2026-04-13 19:25:12

239

Views

Kleene's fixed point theorem for cpo's

Published on 13 Apr 2026 - 19:25

score 154 · Answer 9 · 2026-04-10 02:50:23

154

Views

An easy example of an inverse system which is not the constant inverse system

Published on 10 Apr 2026 - 2:50

score 48 · Answer 10 · 2026-04-14 01:39:06

48

Views

Compactness in $\mathbb R^n $

Published on 14 Apr 2026 - 1:39

score 152 · Answer 11 · 2026-04-15 09:47:41

152

Views

Local homeomorphism from a locally Euclidean space implies Euclidean space

Published on 15 Apr 2026 - 9:47

score 81 · Answer 12 · 2026-04-29 04:04:49

81

Views

$(X_1,\tau_1)\times(X_2,\tau_2)\cong (X_2,\tau_2)\times(X_1,\tau_1) $

Published on 29 Apr 2026 - 4:04

score 110 · Answer 13 · 2026-04-15 03:04:30

110

Views

Mayer-Vietoris for twisted De Rham cohomology in Bott-Tu Differential Forms in Algebraic Topology

Published on 15 Apr 2026 - 3:04

score 417 · Answer 14 · 2026-04-16 11:58:20

Prove that a nonempty bounded closed set can be obtained by removing countable disjoint collection of open intervals from closed interval in R1

score 50 · Answer 15 · 2026-04-09 04:33:08

50

Views

Which of the conditions imply that a function is uniformly continuous relative to an uniformity?

Published on 09 Apr 2026 - 4:33

List Question

Proving $(A\times B)'\supset A'\times B'$

Has the map $f:S^2 \to \mathbb{R} $ an antipodal point with the same image?

Prove that a point $x$ is an accumulation point of $A$ iff $x$ is in $\overline{A\setminus{\{x}\}}$ in a Hausdorff topological space.

Is this a basis for the Scott topology on the collection of open sets of a topology?

Proving $(\mathbb{R},\mathcal{T}_{cf}), (\mathbb{R},\mathcal{T}_u)$ are not homeomorphic

Extending in topology: $M\backslash \overline{A} = \text{int }(M \backslash A)$ and $M \backslash \text{int } (A) = \overline{M \backslash A} $

Proving $\mathbb{R}^n$ bounded implies $-M\leqslant x_i\leqslant M$

Kleene's fixed point theorem for cpo's

An easy example of an inverse system which is not the constant inverse system

Compactness in $\mathbb R^n $

Local homeomorphism from a locally Euclidean space implies Euclidean space

$(X_1,\tau_1)\times(X_2,\tau_2)\cong (X_2,\tau_2)\times(X_1,\tau_1) $

Mayer-Vietoris for twisted De Rham cohomology in Bott-Tu Differential Forms in Algebraic Topology

Prove that a nonempty bounded closed set can be obtained by removing countable disjoint collection of open intervals from closed interval in R1

Which of the conditions imply that a function is uniformly continuous relative to an uniformity?

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