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Existence of a denumerble partition.

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#elementary-set-theory #proof-verification #set-partition
84
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Given N sets of partitions, find a partition such that it satisfies a criterion

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#combinatorics #extremal-combinatorics #set-partition
304
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Given a decreasing family of sets and partitions with a refinement condition, is there a monotonous choice function from the partitions?

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#set-theory #set-partition
69
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Partition of an $n$-element set such that the smallest component has at least $k$ elements?

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#combinatorics #set-partition
413
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Number of equivalence relations on a set with $kn$ elements with the condition that each equivalence class has n elements

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#combinatorics #equivalence-relations #set-partition
43
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Is there a similar notion of cycle type commonly in use for finite partitions, where instead of cycle sizes one counts the block sizes?

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#combinatorics #permutations #equivalence-relations #set-partition
135
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Is it possible to construct two subsequences of a sequence X with specific properties such that the two subsequence sums are the same?

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#combinatorics #pigeonhole-principle #set-partition
124
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Coloring $\mathbb{R}^2$ and single-colored paths

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#continuity #set-partition
99
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A homework problem about set theory

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#combinatorics #set-partition
51
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Canonical name for the partition that a partition of a set induces on its subsets

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#set-theory #set-partition
135
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Arzela-Ascoli argument on a partition

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#measure-theory #banach-spaces #set-partition #holder-spaces #arzela-ascoli
75
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Counting partitions of an $n$-element set.

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#combinatorics #set-partition
773
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Properties of the Stirling numbers of the second kind (unkind question)

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#combinatorics #set-partition
584
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Partitioning a set of size n to k-subsets of at most size b

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#combinatorics #set-partition
2.6k
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How many partitions are there of a 5 element set into 3 parts (of a specific form)?

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#combinatorics #set-partition #bell-numbers

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