-
Homological algebra is the
branch of
mathematics that
studies homology in a
general algebraic setting. It is a
relatively young discipline,
whose origins...
- Look up homology,
homological, homologous, or
homologue in Wiktionary, the free dictionary.
Homology may
refer to:
Homology (biology), any characteristic...
- In
homological algebra and
algebraic topology, a
spectral sequence is a
means of
computing homology groups by
taking successive approximations. Spectral...
- An
autological word (or
homological word)
expresses a
property that it also possesses. For example, the word "word" is a word, the word "English" is (in)...
- and Zaslow,
entitled "Mirror
Symmetry is T-duality".
Along with the
homological mirror symmetry conjecture, it is one of the most
explored tools applied...
- is
similar to the
notion of a
connected space. X is
homologically 1-connected if it is
homologically-connected, and additionally, its 1-th
homology group...
- are
mainly used for
abstract methods related to
category theory and
homological algebra. More generally, "abstract nonsense" may
refer to a
proof that...
- ).
There is also the
notion of
homological epimorphism in ring theory. A
morphism f: A → B of
rings is a
homological epimorphism if it is an epimorphism...
-
mathematical fields of
differential geometry and
geometric measure theory,
homological integration or
geometric integration is a
method for
extending the notion...
- functor.
Along with the Tor functor, Ext is one of the core
concepts of
homological algebra, in
which ideas from
algebraic topology are used to
define invariants...
