Uncountable sets - PowerPoint PPT Presentation

Fractals

Fractals. Compact Set. Compact space X  E N A collection {U a ; U a  E N } of open sets, X   U a .  finite collection {U a k ; k = 1 … n } Such that X   U a k . Equivalent to every sequence of points in X has a subsequence that converges in X. X. y n. y 1. p. Y.

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Discrete Mathematics CS 2610

Discrete Mathematics CS 2610. February 24, 2009 -- part 3. Cardinality. Def.: The cardinality of a set is the number of elements in the set. Def.: Let A and B be two sets. A and B have the same cardinality iff there is a one-to-one correspondence (bijection) between A and B.

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