... >> Mathematics >> Field Of Topology >> Finite Dimensional
Highest Rated Sign
Nobody has posted a sign yet.
Definition: A space X is said to be finite dimensional if there is some integer m such that for every open covering A of X, there is an open covering B of X that refines A and has order m+1. The topological dimension of X is defined to be the smallest value of m for which this statement holds; we denote it by dim X.
Source: Topology (second edition) by James R. Munkres