List questions from infinitary-combinatorics

Published on 25 Mar 2026 - 4:27

334

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Existence of Aronszajn tree

Published on 25 Mar 2026 - 3:58

74

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Verifying a proof (under AC) that any (possibly non-finite) graph $G$ has a $\kappa$-coloring ($\kappa$ a cardinal) if $\chi(G)\leq \kappa\leq |V(G)|$

Published on 25 Mar 2026 - 3:10

57

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Finding necessary/sufficient conditions for when a directed graph's geodesic function is unbounded.

Published on 24 Mar 2026 - 22:42

319

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Infinite rooms and doors (2)

Published on 24 Mar 2026 - 22:32

54

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Reduction of families to size $\aleph_1$

Published on 25 Mar 2026 - 6:35

70

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Prove using Koenig's lemma that a rayless connected graph $G$ with $\delta(G) = k$ has a finite subgraph $H$ with $\delta(H)=k$

Published on 25 Mar 2026 - 5:17

87

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Universal Classes of Regular Graphs

Published on 25 Mar 2026 - 6:44

67

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An infinite basis for an ad hoc vector space

Published on 25 Mar 2026 - 5:07

62

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A Bijection Between $\kappa\times\aleph_{\alpha+\kappa}$ and $\aleph_{\alpha+\kappa}$ with Certain Order-Preservation Properties

Published on 25 Mar 2026 - 1:46

549

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the generalized Delta System Lemma

Published on 25 Mar 2026 - 5:42

32

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Partitioning an infinite set into fixed number of sets

Published on 25 Mar 2026 - 14:22

172

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How is $\sum_{i=0}^{\infty}\sum_{j=0}^{\infty}x^{i+j} = \sum_{n=0}^{\infty}\sum_{i=0}^{n}x^n$

Published on 25 Mar 2026 - 16:03

121

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On the distributive number $\mathfrak h$

Published on 25 Mar 2026 - 15:58

151

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Minkowski difference in a pseudo-AP

Published on 25 Mar 2026 - 14:21

List Question

How to understand $e$ and other terms in this probability distribution?

Existence of Aronszajn tree

Verifying a proof (under AC) that any (possibly non-finite) graph $G$ has a $\kappa$-coloring ($\kappa$ a cardinal) if $\chi(G)\leq \kappa\leq |V(G)|$

Finding necessary/sufficient conditions for when a directed graph's geodesic function is unbounded.

Infinite rooms and doors (2)

Reduction of families to size $\aleph_1$

Prove using Koenig's lemma that a rayless connected graph $G$ with $\delta(G) = k$ has a finite subgraph $H$ with $\delta(H)=k$

Universal Classes of Regular Graphs

An infinite basis for an ad hoc vector space

A Bijection Between $\kappa\times\aleph_{\alpha+\kappa}$ and $\aleph_{\alpha+\kappa}$ with Certain Order-Preservation Properties

the generalized Delta System Lemma

Partitioning an infinite set into fixed number of sets

How is $\sum_{i=0}^{\infty}\sum_{j=0}^{\infty}x^{i+j} = \sum_{n=0}^{\infty}\sum_{i=0}^{n}x^n$

On the distributive number $\mathfrak h$

Minkowski difference in a pseudo-AP

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