Question

Why the reflexivity of a Banach set depend on the bijectivity of $Jx(f)=f(x)$?

score 78 · Answer 1 · 2026-04-15 17:34:52

78

Views

Why the reflexivity of a Banach set depend on the bijectivity of $Jx(f)=f(x)$?

Published on 15 Apr 2026 - 17:34

score 309 · Answer 2 · 2026-04-11 10:09:46

309

Views

Compact open topology on $\operatorname{GL}(n, \mathbb{R})$ coincides with Euclidean topology.

Published on 11 Apr 2026 - 10:09

score 101 · Answer 3 · 2026-04-10 23:54:15

101

Views

How to show that a complexoid set is open

Published on 10 Apr 2026 - 23:54

score 583 · Answer 4 · 2026-04-16 01:49:35

583

Views

Hatcher's, tensor product of vector bundles : topology explained

Published on 16 Apr 2026 - 1:49

score 50 · Answer 5 · 2026-04-13 10:55:25

50

Views

Continuous and invertible map from $[0,1] \times P \to [0,1] \times P$ has continuous inverse

Published on 13 Apr 2026 - 10:55

score 542 · Answer 6 · 2026-04-13 06:49:51

542

Views

Why is the etale map an open map?

Published on 13 Apr 2026 - 6:49

score 114 · Answer 7 · 2026-04-16 03:25:19

If $A\subset \mathbb R^n$ compact and $U$ open such that $A\subset U$, why is there an open $B$ such that $A\subset B\subset \bar B\subset U$ ?

score 26 · Answer 8 · 2026-04-14 21:10:33

26

Views

What are the closed set of a set $B\subset X$?

Published on 14 Apr 2026 - 21:10

score 486 · Answer 9 · 2026-04-11 00:22:50

486

Views

Relative compact inside a subset with relative topology

Published on 11 Apr 2026 - 0:22

score 34 · Answer 10 · 2026-04-16 12:13:13

34

Views

Prove that given collection of subset is a topology.

Published on 16 Apr 2026 - 12:13

score 1.8k · Answer 11 · 2026-04-10 18:24:04

1.8k

Views

Is there any easy proof of Brouwer's fixed point theorem?

Published on 10 Apr 2026 - 18:24

score 47 · Answer 12 · 2026-04-15 19:48:43

If $\mathcal B$ and $\mathcal B'$ are two bases for the same topology, then are $\mathcal B$ and $\mathcal B'$ comparable?

score 341 · Answer 13 · 2026-04-17 08:48:48

341

Views

Adjunction space is homeomorphic to quotient: an easier proof?

Published on 17 Apr 2026 - 8:48

score 78 · Answer 14 · 2026-04-14 07:06:41

78

Views

G-principal bundle and homotopy retract

Published on 14 Apr 2026 - 7:06

score 524 · Answer 15 · 2026-04-12 06:02:19

524

Views

Definition of a self homeomorphism

Published on 12 Apr 2026 - 6:02

List Question

Why the reflexivity of a Banach set depend on the bijectivity of $Jx(f)=f(x)$?

Compact open topology on $\operatorname{GL}(n, \mathbb{R})$ coincides with Euclidean topology.

How to show that a complexoid set is open

Hatcher's, tensor product of vector bundles : topology explained

Continuous and invertible map from $[0,1] \times P \to [0,1] \times P$ has continuous inverse

Why is the etale map an open map?

If $A\subset \mathbb R^n$ compact and $U$ open such that $A\subset U$, why is there an open $B$ such that $A\subset B\subset \bar B\subset U$ ?

What are the closed set of a set $B\subset X$?

Relative compact inside a subset with relative topology

Prove that given collection of subset is a topology.

Is there any easy proof of Brouwer's fixed point theorem?

If $\mathcal B$ and $\mathcal B'$ are two bases for the same topology, then are $\mathcal B$ and $\mathcal B'$ comparable?

Adjunction space is homeomorphic to quotient: an easier proof?

G-principal bundle and homotopy retract

Definition of a self homeomorphism

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