About: Calculus of functors

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In algebraic topology, a branch of mathematics, the calculus of functors or Goodwillie calculus is a technique for studying functors by approximating them by a sequence of simpler functors; it generalizes the sheafification of a presheaf. This sequence of approximations is formally similar to the Taylor series of a smooth function, hence the term "calculus of functors".

Attributes	Values
rdf:type	topical concept
rdfs:label	Calculus of functors (en)
rdfs:comment	In algebraic topology, a branch of mathematics, the calculus of functors or Goodwillie calculus is a technique for studying functors by approximating them by a sequence of simpler functors; it generalizes the sheafification of a presheaf. This sequence of approximations is formally similar to the Taylor series of a smooth function, hence the term "calculus of functors". (en)
dcterms:subject	Algebraic topology Functors
Wikipage page ID	23694557 (xsd:integer)
Wikipage revision ID	985258741 (xsd:integer)
Link from a Wikipage to another Wikipage	Michael Weiss (mathematician) Algebraic topology Inclusion map Mathematics Geometric topology Functors Configuration space (mathematics) Thomas Goodwillie (mathematician) André Haefliger Smooth function Embedding Functor Link (knot theory) Algebraic topology Functors Taylor series Homogeneous polynomial Manifold Natural transformations Sheaf (mathematics) Smooth manifold Immersion (mathematics) Excision theorem N-connected Taylor polynomials Presheaf Sheafification
Link from a Wikipage to an external page	http://wwwmath.uni-muenster.de/u/mweis_02/ http://math.stanford.edu/~munson/functorcalculus/syllabus.pdf http://www.math.brown.edu/faculty/goodwillie.html http://www.math.wayne.edu/~klein/
sameAs	Calculus of functors Calculus of functors Calculus of functors
dbp:wikiPageUsesTemplate	dbt:Anchor dbt:Citation dbt:Citation_needed
has abstract	In algebraic topology, a branch of mathematics, the calculus of functors or Goodwillie calculus is a technique for studying functors by approximating them by a sequence of simpler functors; it generalizes the sheafification of a presheaf. This sequence of approximations is formally similar to the Taylor series of a smooth function, hence the term "calculus of functors". Many objects of central interest in algebraic topology can be seen as functors, which are difficult to analyze directly, so the idea is to replace them with simpler functors which are sufficiently good approximations for certain purposes.The calculus of functors was developed by Thomas Goodwillie in a series of three papers in the 1990s and 2000s, and has since been expanded and applied in a number of areas. (en)
gold:hypernym	Technique
prov:wasDerivedFrom	wikipedia-en:Calculus_of_functors?oldid=985258741&ns=0
page length (characters) of wiki page	6959 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Calculus_of_functors
is Link from a Wikipage to another Wikipage of	Michael Weiss (mathematician) Analytic functor Glossary of category theory Thomas Goodwillie (mathematician) Ismar Volić Classification of manifolds Immersion (mathematics) Polynomial functor Goodwillie calculus
is Wikipage redirect of	Analytic functor Goodwillie calculus
is known for of	Thomas Goodwillie (mathematician)
is known for of	Thomas Goodwillie (mathematician)
is foaf:primaryTopic of	wikipedia-en:Calculus_of_functors

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