# US not implies KC

From Topospaces

This article gives the statement and possibly, proof, of a non-implication relation between two topological space properties. That is, it states that every topological space satisfying the first topological space property (i.e., US-space (?)) neednotsatisfy the second topological space property (i.e., KC-space (?))

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## Statement

It is possible to have a US-space (i.e., a topological space in which every convergent sequence has at most one limit) that is not a KC-space.