Question

If $f: (X, M) \to (Y, \tau)$ is measurable, then for all Borel sets $B \subset Y$ it is true that $f^{-1}(B) \in M$

score 44 · Answer 1 · 2026-04-16 05:26:02

44

Views

If $f: (X, M) \to (Y, \tau)$ is measurable, then for all Borel sets $B \subset Y$ it is true that $f^{-1}(B) \in M$

Published on 16 Apr 2026 - 5:26

score 135 · Answer 2 · 2026-05-10 15:46:57

135

Views

Are the sets $\{X: \max_i \text{Re}\lambda_i (B+AX) < 0\}$ and $\{X: \rho(B+AX) < 1\}$ homeomorphic?

Published on 10 May 2026 - 15:46

score 60 · Answer 3 · 2026-04-12 16:54:46

60

Views

Prove that composition of functions is measurable

Published on 12 Apr 2026 - 16:54

score 1.1k · Answer 4 · 2026-04-16 03:12:28

1.1k

Views

Neither open nor closed subspace of a vector space?

Published on 16 Apr 2026 - 3:12

score 832 · Answer 5 · 2026-04-16 08:11:17

832

Views

Normed vector space & Schauder basis exercise

Published on 16 Apr 2026 - 8:11

score 60 · Answer 6 · 2026-04-16 01:33:15

60

Views

What is the name of a $n$-dimensional space where each dimension contains exactly 3 values?

Published on 16 Apr 2026 - 1:33

score 532 · Answer 7 · 2026-04-14 08:06:22

532

Views

Proving $\epsilon$-$\delta$ convergence of Lebesgue integrals just from the definition

Published on 14 Apr 2026 - 8:06

score 379 · Answer 8 · 2026-04-09 23:52:58

379

Views

connected sum of surface

Published on 09 Apr 2026 - 23:52

score 43 · Answer 9 · 2026-04-12 16:22:23

43

Views

How do I prove this set of elements of a $\sigma$-algebra is independent?

Published on 12 Apr 2026 - 16:22

score 65 · Answer 10 · 2026-04-12 12:29:00

65

Views

Properties of this topology on $\mathbb N$.

Published on 12 Apr 2026 - 12:29

score 94 · Answer 11 · 2026-04-14 04:12:07

94

Views

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Published on 14 Apr 2026 - 4:12

score 36 · Answer 12 · 2026-04-12 10:55:59

36

Views

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Published on 12 Apr 2026 - 10:55

score 74 · Answer 13 · 2026-04-13 06:21:50

74

Views

Properties of this topology on $\Bbb X$.

Published on 13 Apr 2026 - 6:21

score 474 · Answer 14 · 2026-04-08 20:13:13

474

Views

topology induced by function from set to power set?

Published on 08 Apr 2026 - 20:13

score 127 · Answer 15 · 2026-04-14 07:26:19

127

Views

Neighborhood of a point, the derived set, general topology and real analysis

Published on 14 Apr 2026 - 7:26

List Question

If $f: (X, M) \to (Y, \tau)$ is measurable, then for all Borel sets $B \subset Y$ it is true that $f^{-1}(B) \in M$

Are the sets $\{X: \max_i \text{Re}\lambda_i (B+AX) < 0\}$ and $\{X: \rho(B+AX) < 1\}$ homeomorphic?

Prove that composition of functions is measurable

Neither open nor closed subspace of a vector space?

Normed vector space & Schauder basis exercise

What is the name of a $n$-dimensional space where each dimension contains exactly 3 values?

Proving $\epsilon$-$\delta$ convergence of Lebesgue integrals just from the definition

connected sum of surface

How do I prove this set of elements of a $\sigma$-algebra is independent?

Properties of this topology on $\mathbb N$.

Writing proofs to show that a set is open, not closed and infinite

General topology, compact sets, neighborhood

Properties of this topology on $\Bbb X$.

topology induced by function from set to power set?

Neighborhood of a point, the derived set, general topology and real analysis

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