- mathematics, more
specifically category theory, a quasi-category (also
called quasicategory, weak Kan complex,
inner Kan complex,
infinity category, ∞-category...
- form the “category of all categories”. But it is
possible to form a
quasicategory (meaning
objects and
morphisms merely form a conglomerate) of all categories...
-
Brown representability theorem for the
homotopy category of a
pointed quasicategory with a
compact set of
generators which are
cogroup objects in the homotopy...
-
representability conditions).
Quillen model categories,
Segal categories and
quasicategories are some of the most
often used
tools to
formalize this
yielding the...
-
general introduction to
higher category theory (using the
formalism of "
quasicategories" or "weak Kan complexes"), and to
apply this
theory to the
study of...
-
rigorous development of
general ∞-category
theory in the
language of
quasicategories, a
special class of
simplicial set
which acts as a
model for ∞-categories...
-
which case a
quasicategory is a
category whose objects and
morphisms merely form a conglomerate. (NB: some
authors use the term "
quasicategory" with a different...
- Livernet, Muriel; Saadia,
Gabriel (2024). "Rigidification of
cubical quasicategories".
Algebraic &
Geometric Topology. 24 (5): 2851–2888. arXiv:2211.13679...
