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A note on Homotopy Pushout and Homotopy coherence
Abstract
We present a self-contained argument,
characterizing a homotopy pushout square by recognizing it as an initial object
in a certain coherent homotopy category of spaces under a cotriad.
Mathematics Subject
Classification (2000):
18A30, 55P10, 55Q05.
Key words: Homotopy pushout, homotopy colimit,
track, double mapping cylinder, homotopy coherence.
Quaestiones Mathematicae 26(2003), 399–403
characterizing a homotopy pushout square by recognizing it as an initial object
in a certain coherent homotopy category of spaces under a cotriad.
Mathematics Subject
Classification (2000):
18A30, 55P10, 55Q05.
Key words: Homotopy pushout, homotopy colimit,
track, double mapping cylinder, homotopy coherence.
Quaestiones Mathematicae 26(2003), 399–403
