18 янв. 2023 г. · In the context of homotopy type theory a homotopy pullback is the interpretation of the space of solutions to an equation. 2. Definition. In ...

8 мар. 2013 г. · In other words, the homotopy pullback is obtained by replacing the two maps by fibrations and then taking the strict pullback. We will see ...

It is obvious that homotopy pull-backs exist for all such pairs of maps. (h, k), and that the space A is unique up to homotopy equivalence. Later we will ...

8 мая 2017 г. · The notion of homotopy pullback is meant as a homotopy invariant approximation of strict pullbacks, which are not homotopy invariant. 1 ...

12 дек. 2009 г. · The homotopy pullback will be the ordinary pullback in degree 0, and in (homological) degree -1 it should be something like the cokernel of the ... How to compute Homotopy Pullback - MathOverflow (Co)homological characterization of homotopy pullbacks Homotopy pullbacks and fibers - MathOverflow The homotopy pullback of a point along itself is the loop space Другие результаты с сайта mathoverflow.net

The notions of homotopy pullback and homotopy pushout diagrams can be regarded as homotopy-invariant replacements.

22 июн. 2018 г. · A homotopy pullback is not a pullback in the homotopy category. It is not true that the homotopy pullback X×hZY is the universal space ... Homotopy pullback square and fiber sequence - Math Stack Exchange Do homotopy pullbacks always compose? - Math Stack Exchange general topology - Pullback of homotopy equivalence along fibration ... Connected Components of the Homotopy Pullback Другие результаты с сайта math.stackexchange.com

A homotopy pullback (or homotopy fiber-product) is the dual concept of a homotopy pushout.It satisfies the universal property of a pullback up to homotopy. Introductory examples · General definition · Examples

1 июн. 2015 г. · Iwase and Mimura [10] gave an outline of the proof of that the homotopy pullback of A n -maps becomes an A n -space, using the A n -structures.

Chain homotopy pullbacks and pushouts. Y. L. Wong · Cahiers de Topologie et Géométrie Différentielle Catégoriques (1982). Volume: 23, Issue: 3, page 269-278 ...