- In mathematics,
categorification is the
process of
replacing set-theoretic
theorems with category-theoretic analogues.
Categorification, when done successfully...
-
arises as the
cohomology of a
cochain complex. It may be
regarded as a
categorification of the
Jones polynomial. It was
developed in the late 1990s by Mikhail...
-
Khovanov homology for links,
which was one of the
first examples of
categorification.
Khovanov graduated from
Moscow State School 57
mathematical class...
-
Mathematics portal Higher-dimensional
algebra General abstract nonsense Categorification Coherency (homotopy theory) Lurie, Jacob.
Higher Topos Theory (PDF)...
- examples.
Every (small)
monoidal category may also be
viewed as a "
categorification" of an
underlying monoid,
namely the
monoid whose elements are the...
- 04.003, S2CIDÂ 53304001 Helme-Guizon, Laure; Rong,
Yongwu (2005), "A
categorification of the
chromatic polynomial",
Algebraic &
Geometric Topology, 5 (4):...
-
loosen the
stricter restriction of the function.
Please refer to the
Categorification and
cosheaves and
Impact on
mathematics sections for more information...
- Key
concepts Categorification Enriched category Higher-dimensional
algebra Homotopy hypothesis Model category Simplex category String diagram Topos n-categories...
-
Derived symplectic structures in
generalized Donaldson–Thomas
theory and
categorification. In
September 2018, she set a new UCI Women's hour record,
riding 48...
- Key
concepts Categorification Enriched category Higher-dimensional
algebra Homotopy hypothesis Model category Simplex category String diagram Topos n-categories...
