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Subsets of nested sets

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#elementary-set-theory
681
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Constructing a function using the Schroeder-Bernstein Theorem

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#real-analysis #elementary-set-theory
193
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Uniform distribution Measure

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#probability-theory #elementary-set-theory #uniform-distribution #product-space
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Prove that any nonempty open set of $\mathbb R$ is uncountable

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#real-analysis #elementary-set-theory
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Finding and Proving the Supremum and Infimum of $X = \bigcup\limits_{n=1}^{\infty} [2n, 2n + 1]$

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#real-analysis #elementary-set-theory #inequality #proof-writing
64
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Is the following set inclusion true?

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#analysis #elementary-set-theory
170
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On an equivalent formulation of the Sauer–Shelah lemma.

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#combinatorics #elementary-set-theory #machine-learning
100
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What does a simple bijection imply on cardinals for which the function is defined?

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#functions #elementary-set-theory
39
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Image of an algebra of sets does not need to be an algebra

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#measure-theory #elementary-set-theory
80
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Write this Cartesian product in math notation

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#general-topology #elementary-set-theory
1.7k
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Is there a sequence of unbounded closed intervals such that its intersection is empty?

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#real-analysis #sequences-and-series #elementary-set-theory
266
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Discrete simplicial sets: equivalent definitions, request for a proof

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#general-topology #elementary-set-theory #category-theory #simplicial-stuff #functors
216
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Simple discrete math subsets

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#discrete-mathematics #elementary-set-theory
50
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Is this simple inequality true under the given conditions?

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#real-analysis #elementary-set-theory
631
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How many partial orders can be defined on $\varnothing$ and a finite set?

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#elementary-set-theory #order-theory

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