Compact implies rim-compact

From Topospaces

This article gives the statement and possibly, proof, of an implication relation between two topological space properties. That is, it states that every topological space satisfying the first topological space property (i.e., compact space) must also satisfy the second topological space property (i.e., rim-compact space)
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Statement

Any compact space is a rim-compact space.

Facts used

  1. Compactness is weakly hereditary