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Homotopy Coherent Category Theory
, 1996
"... this paper we try to lay some of the foundations of such a theory of categories `up to homotopy' or more exactly `up to coherent homotopies'. The method we use is based on earlier work on: ..."
Abstract
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Cited by 19 (6 self)
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this paper we try to lay some of the foundations of such a theory of categories `up to homotopy' or more exactly `up to coherent homotopies'. The method we use is based on earlier work on:
Flexible sheaves
, 1996
"... In the early 1970’s was introduced a notion of homotopy-coherent diagram (Segal [64], Leitch [52], Vogt [78] and Mather [54]). This is a way of using cubical homotopies to deal at once with all of the higher homotopies of coherence involved in a diagram of spaces which “commutes up to homotopy”. Thi ..."
Abstract
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Cited by 3 (0 self)
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In the early 1970’s was introduced a notion of homotopy-coherent diagram (Segal [64], Leitch [52], Vogt [78] and Mather [54]). This is a way of using cubical homotopies to deal at once with all of the higher homotopies of coherence involved in a diagram of spaces which “commutes up to homotopy”. This notion was subsequently studied by Vogt [78]
