Question

What is topology of $X^{\mathbb{Z}}$ where $X$ is a topological space.

score 32 · Answer 1 · 2021-10-24 07:57:19

32

Views

What is topology of $X^{\mathbb{Z}}$ where $X$ is a topological space.

Published on 24 Oct 2021 - 7:57

score 252 · Answer 2 · 2021-10-26 07:41:21

252

Views

Prove that the cartesian product of topological manifolds is again a topological manifold.

Published on 26 Oct 2021 - 7:41

score 74 · Answer 3 · 2026-03-27 21:35:48

74

Views

Sectional and Ricci curvature on product manifolds

Published on 27 Mar 2026 - 21:35

score 139 · Answer 4 · 2026-03-27 03:59:58

139

Views

Triple product $\displaystyle\prod_{k=1}^{\infty} \prod_{n=1}^{\infty} \prod_{m=1}^{\infty}(k+n+m)^{\frac{(-1)^{k+m+n}}{k+m+n}}$

Published on 27 Mar 2026 - 3:59

score 97 · Answer 5 · 2021-11-06 21:45:48

Prove that if $x_{1}x_{2}...x_{n}=1$ then $\frac{1}{1+x_{1}+x_{1}x_{2}}+...+\frac{1}{1+x_{n-1}+x_{n-1}x_{n}}+\frac{1}{1 +x_{n}+x_{n}x_{1}}\ge 1$

score 204 · Answer 6 · 2021-11-07 19:04:56

204

Views

$(x – 100) (x – 102) (x – 104)\cdots(x – 200) > 0$ for how many natural $x<250$?

Published on 07 Nov 2021 - 19:04

score 67 · Answer 7 · 2021-11-08 13:03:32

67

Views

Irrationality of an infinite product

Published on 08 Nov 2021 - 13:03

score 64 · Answer 8 · 2021-11-10 19:33:46

64

Views

How to prove the following inequality with complete induction?

Published on 10 Nov 2021 - 19:33

score 297 · Answer 9 · 2021-11-18 11:26:46

297

Views

Infinite Sum of Infinite Product

Published on 18 Nov 2021 - 11:26

score 223 · Answer 10 · 2021-11-27 08:33:09

223

Views

Proving Nested Sum and Product Identities

Published on 27 Nov 2021 - 8:33

score 94 · Answer 11 · 2021-11-30 17:35:39

94

Views

A trivial fact about factorisations of functions of two variables: how to prove it?

Published on 30 Nov 2021 - 17:35

score 114 · Answer 12 · 2021-12-02 00:25:42

114

Views

Proving $\prod_{i=1}^n (2i-1)$ = $\frac{(2n)!}{2^nn!}$ for all natural numbers

Published on 02 Dec 2021 - 0:25

score 69 · Answer 13 · 2026-03-21 23:52:49

69

Views

Products in quotient category

Published on 21 Mar 2026 - 23:52

score 23 · Answer 14 · 2021-12-04 13:20:16

23

Views

''Pointwise'' convergence of Product measure

Published on 04 Dec 2021 - 13:20

score 212 · Answer 15 · 2021-12-11 04:07:46

212

Views

An integral-like limit of a matrix product

Published on 11 Dec 2021 - 4:07

List Question

What is topology of $X^{\mathbb{Z}}$ where $X$ is a topological space.

Prove that the cartesian product of topological manifolds is again a topological manifold.

Sectional and Ricci curvature on product manifolds

Triple product $\displaystyle\prod_{k=1}^{\infty} \prod_{n=1}^{\infty} \prod_{m=1}^{\infty}(k+n+m)^{\frac{(-1)^{k+m+n}}{k+m+n}}$

Prove that if $x_{1}x_{2}...x_{n}=1$ then $\frac{1}{1+x_{1}+x_{1}x_{2}}+...+\frac{1}{1+x_{n-1}+x_{n-1}x_{n}}+\frac{1}{1 +x_{n}+x_{n}x_{1}}\ge 1$

$(x – 100) (x – 102) (x – 104)\cdots(x – 200) > 0$ for how many natural $x<250$?

Irrationality of an infinite product

How to prove the following inequality with complete induction?

Infinite Sum of Infinite Product

Proving Nested Sum and Product Identities

A trivial fact about factorisations of functions of two variables: how to prove it?

Proving $\prod_{i=1}^n (2i-1)$ = $\frac{(2n)!}{2^nn!}$ for all natural numbers

Products in quotient category

''Pointwise'' convergence of Product measure

An integral-like limit of a matrix product

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