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edited Jul 13 2011 at 9:24

Stephen S
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asked Feb 26 2011 at 20:28

Jim McClure
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homotopy pushout of spaces homotopic to finite CW complexes

Does anyone know a reference for the fact that a homotopy pushout (double mapping cylinder) of spaces which are homotopy equivalent to finite CW complexes is also homotopy equivalent to a finite CW complex?

at.algebraic-topology homotopy-theory