Question

Prove that every holomorphic function has a maximal continuation.

score 206 · Answer 1 · 2026-04-13 20:06:07

206

Views

Prove that every holomorphic function has a maximal continuation.

Published on 13 Apr 2026 - 20:06

score 42 · Answer 2 · 2026-04-13 22:51:34

42

Views

Show that the following $4$ well-ordered sets are all countably infinite, but they all have different order types. (Munkres "Topology 2nd Edition")

Published on 13 Apr 2026 - 22:51

score 49 · Answer 3 · 2026-04-16 14:41:07

49

Views

Proving a least upper property for $\sigma$-algebras on probability spaces

Published on 16 Apr 2026 - 14:41

score 128 · Answer 4 · 2026-04-10 06:26:33

128

Views

Sets order isomorphic to $[\omega_0, \omega_1)$

Published on 10 Apr 2026 - 6:26

score 144 · Answer 5 · 2026-04-13 02:32:36

144

Views

What is notation / sign for incomparable elements?

Published on 13 Apr 2026 - 2:32

score 85 · Answer 6 · 2026-04-16 00:00:39

85

Views

Hints to prove: total pre-order on X is isomorphic to a total order of sets of X

Published on 16 Apr 2026 - 0:00

score 28 · Answer 7 · 2026-04-16 00:55:54

28

Views

Let $G$ be an ordered abelian group, $b\geq 0$. Suppose $k\geq 1$ and $-b\leq k\cdot a\leq b$. Does $-s\cdot b\leq a\leq s\cdot b$ hold for some $s$?

Published on 16 Apr 2026 - 0:55

score 107 · Answer 8 · 2026-04-16 06:45:19

107

Views

Error in the proof of $\textit{Sheaves in Geometry and Logic}$ Lemma VI.3.8 - Cohen Poset satisfies Countable Chain Condition

Published on 16 Apr 2026 - 6:45

score 19 · Answer 9 · 2026-04-12 18:50:26

19

Views

Bijective Function / Enumeration order

Published on 12 Apr 2026 - 18:50

score 61 · Answer 10 · 2026-04-08 21:24:10

61

Views

Two different definitions of monotone operator

Published on 08 Apr 2026 - 21:24

score 46 · Answer 11 · 2026-04-13 04:18:13

46

Views

Is the set of noncrossing partitions of an infinite set a lattice?

Published on 13 Apr 2026 - 4:18

score 28 · Answer 12 · 2026-04-13 12:49:46

28

Views

Order-theoretic restriction of a permutation

Published on 13 Apr 2026 - 12:49

score 68 · Answer 13 · 2026-04-11 10:02:25

68

Views

Countably many dense subsets in forcing

Published on 11 Apr 2026 - 10:02

score 194 · Answer 14 · 2026-04-11 23:16:24

194

Views

Basic Set Theory Question from General Topology by Stephen Willard

Published on 11 Apr 2026 - 23:16

score 399 · Answer 15 · 2026-04-12 03:11:03

399

Views

What is an interval of a lattice?

Published on 12 Apr 2026 - 3:11

List Question

Prove that every holomorphic function has a maximal continuation.

Show that the following $4$ well-ordered sets are all countably infinite, but they all have different order types. (Munkres "Topology 2nd Edition")

Proving a least upper property for $\sigma$-algebras on probability spaces

Sets order isomorphic to $[\omega_0, \omega_1)$

What is notation / sign for incomparable elements?

Hints to prove: total pre-order on X is isomorphic to a total order of sets of X

Let $G$ be an ordered abelian group, $b\geq 0$. Suppose $k\geq 1$ and $-b\leq k\cdot a\leq b$. Does $-s\cdot b\leq a\leq s\cdot b$ hold for some $s$?

Error in the proof of $\textit{Sheaves in Geometry and Logic}$ Lemma VI.3.8 - Cohen Poset satisfies Countable Chain Condition

Bijective Function / Enumeration order

Two different definitions of monotone operator

Is the set of noncrossing partitions of an infinite set a lattice?

Order-theoretic restriction of a permutation

Countably many dense subsets in forcing

Basic Set Theory Question from General Topology by Stephen Willard

What is an interval of a lattice?

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