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partition and equivalence relation's classes

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#equivalence-relations #set-partition
242
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Maps between Equivalence Relations and Partitions

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#functions #elementary-set-theory #proof-explanation #equivalence-relations #set-partition
57
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Can every step function be partitioned into equally-sized subintervals?

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#elementary-number-theory #real-numbers #set-partition #step-function
69
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Partitioning cartesian products of the form $[0,n]\times[0,m]$ ($n,m\in\mathbf{N}$) "diagonally"

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#combinatorics #discrete-mathematics #elementary-set-theory #set-partition
315
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Number of partitions of countable and uncountable set

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#real-analysis #elementary-set-theory #self-learning #cardinals #set-partition
74
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Are these families the clopen sets of some class of topologies?

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#measure-theory #terminology #boolean-algebra #lattice-orders #set-partition
57
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A sequence of partitions that splits up every triple

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#puzzle #set-partition #extremal-combinatorics #hypergraphs
295
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Is that possible to partition $(\Bbb R,+)$ into 4 additively closed subsets?

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#group-theory #real-numbers #set-partition
193
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Relation between Bell number and $F(n)$ the number of partitions of $[n]$ without singeton blocks

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#combinatorics #limits #set-partition #bell-numbers
250
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For $n\ge 6$, can we partition the set $\{1 , 4 , 9 , ...,n^2\}$ into two subsets whose sums are equal or differ by one?

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#elementary-number-theory #set-partition #parity
91
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Counting Set Partitions

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#combinatorics #set-partition
70
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Number of set partitions such that at least one partition contains many even numbers

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#combinatorics #elementary-set-theory #set-partition
136
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Partition of a set of positive integers

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#sequences-and-series #set-partition
1.1k
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$F(n)$ is number of ways to partition set of $n$ without singleton blocks. Prove that $B(n) = F(n) + F(n+1)$

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#combinatorics #combinatorial-proofs #set-partition #bell-numbers
39
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What can say about the behaviour of the sum $S$?

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#measure-theory #set-partition #hausdorff-measure

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