Weakly contractible not implies contractible
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 need not satisfy the second topological space property
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Weakly contractible space
Further information: weakly contractible space
Further information: contractible space
A topological space is termed contractible if it is homotopy-equivalent to a point.
Further information: double comb space