Homotopy theory is an important sub-field of algebraic topology. It is mainly concerned with the properties and structures of spaces which are invariant ... |
14 янв. 2016 г. · At a basic level, algebraic topology is the study of topological spaces by means of algebraic invariants. The key word here is "topological ... |
Homotopy theory is an important sub-field of algebraic topology. It is mainly concerned with the properties and structures of spaces which are invariant ... |
28 февр. 2024 г. · Going down this path you'll get more used to homotopical algebra and simplicial things, and then it'll be natural to move into higher categories ... |
23 мар. 2024 г. · No, it's not dying at all. If anything, now is the best time to do homotopy theory. Thanks to the recent work of Lurie and others, homotopy ... |
25 нояб. 2023 г. · In homotopy theory, the homotopy hypothesis postulates that topological spaces (up to homotopy) and (∞) groupoids should really be the same ... |
20 мар. 2010 г. · We started with a little bit of point-set topology introducing the category of compactly generated spaces. Then we moved into homotopy theory ... |
27 янв. 2023 г. · I studied some basic algebraic topology (homotopy/homology/cohomology groups). When reading about the Dold-Thom theorem, the fancier and ... |
16 июн. 2022 г. · Eilenberg and MacLane introduced categories, functors, and natural transformations in 1945. Ever since then, category theory played an ... |
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