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Do cosets of this semigroup partition this ring?

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#abstract-algebra #semigroups #set-partition
80
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If $A$ is a set of size $2^{\aleph_0}$ and $S$ is an uncountable partition of $A$, is there an injection from $A$ into $S$?

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#functions #set-theory #set-partition
257
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Injective function from $(0,1)$ to a partition

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#functions #elementary-set-theory #set-partition
52
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Partition of $[a,b]\subset\mathbb{R}$

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#set-partition
264
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Easy set partition problem

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#discrete-mathematics #elementary-set-theory #set-partition
103
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Partitioning $\Bbb{N}$

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#elementary-set-theory #set-partition
264
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Number of 2n-1 equal size partitions up to symmetry

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#combinatorics #group-theory #graph-theory #symmetry #set-partition
15.3k
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How many ways can N elements be partitioned into subsets of size K?

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#combinatorics #set-partition
262
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proving antisymmetry of partition refinement

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#elementary-set-theory #relations #set-partition
10.2k
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Number of partitions of an $n$-element set into $k$ classes

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#combinatorics #set-partition
399
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Explanation of block systems and group action

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#group-theory #set-partition
3.3k
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Partitions of a set into three parts

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#discrete-mathematics #set-partition
1.5k
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Common refinement of partitions is finite

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#real-analysis #alternative-proof #set-partition
145
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Partitions of $\{1,2, \dots , n\}$ into $k$ nonempty subsets with known length for each subset.

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#combinatorics #set-partition
982
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Partitions and refinement—terminology

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#terminology #set-partition

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