2 нояб. 2014 г. · The reason is that if two continuous functions are homotopic then they induce the same maps on homotopy groups and hence are "the same" for the ...

8 дек. 2011 г. · I thought it could be useful to compile a big list of applications of higher category theory to other disciplines of mathematics.

An ordinary category has objects and morphisms. A 2-category generalizes this by also including 2-morphisms between the 1-morphisms.

12 мая 2019 г. · higher category theory is the part of category theory at a higher order, which means that some equalities are replaced by explicit arrows in ...

14 дек. 2020 г. · It is standard in category theory to study things 'from the top down' -- to study structured sets we use categories, to study structured categories we use ...

Questions tagged [higher-category-theory] For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.

29 сент. 2024 г. · Constructions in higher category theory are strongly tied to ideas in homotopy theory. I have heard various different opinions on whether one ...

25 дек. 2017 г. · Higher category theory is, roughly speaking, where category theory meets homotopy coherent mathematics. It is hence relevant to those ...

28 февр. 2019 г. · Because what we today call (∞,n)-categories are really homotopy-coherent strict n-categories. It is an open question if they are equivalent to ...

Questions tagged [higher-category-theory] Ask Question. For questions involving one or more categorical dimensions, or involving homotopy coherent categorical ...