MathDB
topology

Source: miklos schweitzer 2006 q1

August 31, 2021
topologyDensitycardinal function

Problem Statement

Prove that if X is a compact T2T_2 space, and X has density d(X), then X3X^3 contains a discrete subspace of cardinality d(X)d(X). note: d(X)d(X) is the smallest cardinality of a dense subspace of X.
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