This is a list of some of the ordinary and generalized (or extraordinary) homology and cohomology theories in algebraic topology that are defined on the categories of CW complexes or spectra. For other sorts of homology theories see the links at the end of this article.
and 20 Related for: List of cohomology theories information
This is a listof some of the ordinary and generalized (or extraordinary) homology and cohomologytheories in algebraic topology that are defined on the...
mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated...
theorem CohomologyListofcohomologytheories Cocycle class Cup product Cohomology ring De Rham cohomology Čech cohomology Alexander–Spanier cohomology Intersection...
In mathematics, cohomology with compact support refers to certain cohomologytheories, usually with some condition requiring that cocycles should have...
This is a listof mathematical theories. Almgren–Pitts min-max theory Approximation theory Arakelov theory Artin–Schreier theory Asymptotic theory Automata...
often instead of using it directly one uses some slightly weaker theories derived from it, such as Brown–Peterson cohomology or Morava K-theory, that are...
In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential...
study of high-dimensional manifolds, namely surgery theory. In algebraic topology, cobordism theories are fundamental extraordinary cohomologytheories, and...
sought-after étale cohomology (as well as other refined theories such as flat cohomology and crystalline cohomology). At this point—about 1964—the developments powered...
algebra? Goncharov conjecture on the cohomologyof certain motivic complexes. Green's conjecture: the Clifford index of a non-hyperelliptic curve is determined...
K-theory and Galois cohomology. The result has a relatively elementary formulation and at the same time represents the key juncture in the proofs of many...
principle Hasse–Minkowski theorem Galois module Galois cohomology Brauer group Class field theory Abelian extension Kronecker–Weber theorem Hilbert class...
algebraic de Rham cohomology to complement it. Closely linked to these cohomologytheories, he originated topos theory as a generalisation of topology (relevant...
reduction of the cohomology), notably the Steenrod algebra structure. Since the number of homology theories has become large (see Category:Homology theory), the...
geometry to string theory and related theories such as supersymmetric Yang-Mills theories in order to develop models for heterotic string theory from suitable...
these cohomologytheories. Some of these cohomologytheories, in particular complex cobordism, turned out to be some of the most powerful cohomology theories...
product of groups Direct sum of groups Extension problem Free abelian group Free group Free product Generating set of a group Group cohomology Group extension...
Miller, Haynes (2000). "Leray in Oflag XVIIA: The origins of sheaf theory, sheaf cohomology, and spectral sequences" (ps). Archived from the original...
class is a modular form of weight 2k, with integral Fourier coefficients. Atiyah–Singer index theorem Listofcohomologytheories McTague, Carl (2014) "Computing...
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