Hatcher-Algebraic-Topology · Problem 4.K.6

Homotopy Theory

Mathematics — Graph Theory · dold-thom-theorem

Problem

Let

X

be a complex of spaces over a

\Delta

-complex

\Gamma

, as defined in \S4.G. Show that the natural projection

\Delta X \to \Gamma

is a quasifibration if all the maps in

X

associated to edges of

\Gamma

are weak homotopy equivalences.