About: Bivariant theory

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In mathematics, a bivariant theory was introduced by Fulton and MacPherson, in order to put a ring structure on the Chow group of a singular variety, the resulting ring called an operational Chow ring.

Attributes	Values
rdfs:label	Bivariant theory (en)
rdfs:comment	In mathematics, a bivariant theory was introduced by Fulton and MacPherson, in order to put a ring structure on the Chow group of a singular variety, the resulting ring called an operational Chow ring. (en)
dcterms:subject	Cohomology theories Homology theory Functors Abelian group theory Algebraic geometry
Wikipage page ID	62168097 (xsd:integer)
Wikipage revision ID	1104226318 (xsd:integer)
Link from a Wikipage to another Wikipage	Robert MacPherson (mathematician) Motivic cohomology ring Chow ring Cohomology theories Chow group Functor Homology theory William Fulton (mathematician) Functors Covariance and contravariance (computer science) Abelian group Abelian group theory Algebraic geometry Cohomology Homology (mathematics) Contravariant functor Springer-Verlag Singular variety dbr:Cycle_map dbr:Linear_variety_(algebraic_geometry)
Link from a Wikipage to an external page	https://faculty.missouri.edu/~edidind/Papers/ChowTheorems-07-26.pdf https://ncatlab.org/nlab/show/bivariant+cohomology+theory https://books.google.com/books%3Fid=pR7UCQAAQBAJ https://math.stanford.edu/~vakil/245/
sameAs	Bivariant theory Bivariant theory
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Cite_book dbt:Cite_journal dbt:Expand_section dbt:Harv dbt:Improve_categories dbt:Reflist dbt:Algebraic-geometry-stub
has abstract	In mathematics, a bivariant theory was introduced by Fulton and MacPherson, in order to put a ring structure on the Chow group of a singular variety, the resulting ring called an operational Chow ring. On technical levels, a bivariant theory is a mix of a homology theory and a cohomology theory. In general, a homology theory is a covariant functor from the category of spaces to the category of abelian groups, while a cohomology theory is a contravariant functor from the category of (nice) spaces to the category of rings. A bivariant theory is a functor both covariant and contravariant; hence, the name “bivariant”. (en)
prov:wasDerivedFrom	wikipedia-en:Bivariant_theory?oldid=1104226318&ns=0
page length (characters) of wiki page	3633 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Bivariant_theory
is Link from a Wikipage to another Wikipage of	Operational Chow ring Bivariant Chow group
is Wikipage redirect of	Operational Chow ring Bivariant Chow group
is foaf:primaryTopic of	wikipedia-en:Bivariant_theory

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