Introduction to stable homotopy theory - Lecture 3

preview_player
Показать описание
Coherent diagrams and ∞-categories
Рекомендации по теме
Комментарии
Автор

Another question: I can understand the definition of homotopy as a contineous function from XxI to Y (let say), when we look at simplicial sets, that map from Xx(delta 1) to Y is difficult to describe by a formula, I know the definition of simplicial map as a natural map between functors (simplicial sets) but it still difficult to imagine how 1 or 2 or 3 simplices look in the example of simplicial maps from Xx(delta n) to Y.
I mean by delta 3 = the tetrahedron and etc.

tamirbuqaie
Автор

In the examples of Kan enriched category you always talk about higher homotopies? do you mean by 2-homotopy: the homotopy between to homotopies? for example in Top' the 2-simplices are homotopy (maps from cylinder of the form XxIxI) beyween to 1-homotopies (1-simplices)??
Thanks

tamirbuqaie