About: Hopf invariant

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In mathematics, in particular in algebraic topology, the Hopf invariant is a homotopy invariant of certain maps between n-spheres.

Attributes	Values
rdfs:label	Hopf invariant (en) 호프 불변량 (ko) Инвариант Хопфа (ru) Hopfinvariant (sv) 霍普夫不变量 (zh)
rdfs:comment	In mathematics, in particular in algebraic topology, the Hopf invariant is a homotopy invariant of certain maps between n-spheres. (en) 호모토피 이론에서 호프 불변량(Hopf不變量, 영어: Hopf invariant)은 특정한 차원의 두 초구 사이의 연속 함수를 분류하는 정수이다. (ko) Инвариант Хопфа — гомотопический инвариант отображений между сферами определённых размерностей.Предложен Хайнцем Хопфом в 1931 году. (ru) Inom matematiken, speciellt inom algebraisk topologi, är Hopfinvarianten, uppkallad efter Heinz Hopf, en homotopiinvariant av vissa avbildningar mellan sfärer. (sv) 在数学特别是代数拓扑学中，霍普夫不变量（英語：Hopf invariant）是球面之间某些映射的一个同伦不变量。 (zh)
dcterms:subject	Homotopy theory
Wikipage page ID	4417198 (xsd:integer)
Wikipage revision ID	1095665151 (xsd:integer)
Link from a Wikipage to another Wikipage	Algebraic topology Annals of Mathematics Volume form Continuous map Mathematics Pullback (differential geometry) Frank Adams N-sphere Homotopic Clifford parallel Mathematische Annalen Cyclic group Quarterly Journal of Mathematics Homotopy theory Heinz Hopf J. H. C. Whitehead Jean-Pierre Serre Topological K-theory Homotopy Homotopy group Michael Atiyah Chain complex Point at infinity Whitehead product Poincaré's lemma One-point compactification Cell complex Rational homotopy Reduced suspension Closed differential form Exact differential form Hopf map
Link from a Wikipage to an external page	http://www.maths.ed.ac.uk/~aar/slides/hopfbeam.pdf
sameAs	Hopf invariant Hopf invariant Hopf invariant Hopf invariant Hopf invariant Hopf invariant Hopf invariant
dbp:wikiPageUsesTemplate	dbt:Springer dbt:Citation dbt:Cite_web dbt:Reflist dbt:Rp dbt:Short_description
first	A.V. (en)
id	h/h048000 (en)
last	Shokurov (en)
title	Hopf invariant (en)
has abstract	In mathematics, in particular in algebraic topology, the Hopf invariant is a homotopy invariant of certain maps between n-spheres. (en) 호모토피 이론에서 호프 불변량(Hopf不變量, 영어: Hopf invariant)은 특정한 차원의 두 초구 사이의 연속 함수를 분류하는 정수이다. (ko) Инвариант Хопфа — гомотопический инвариант отображений между сферами определённых размерностей.Предложен Хайнцем Хопфом в 1931 году. (ru) Inom matematiken, speciellt inom algebraisk topologi, är Hopfinvarianten, uppkallad efter Heinz Hopf, en homotopiinvariant av vissa avbildningar mellan sfärer. (sv) 在数学特别是代数拓扑学中，霍普夫不变量（英語：Hopf invariant）是球面之间某些映射的一个同伦不变量。 (zh)
gold:hypernym	Invariant
prov:wasDerivedFrom	wikipedia-en:Hopf_invariant?oldid=1095665151&ns=0
page length (characters) of wiki page	8513 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Hopf_invariant
is Link from a Wikipage to another Wikipage of	Homotopy groups of spheres Hopf fibration Secondary cohomology operation Glossary of algebraic topology Quantum invariant Kervaire invariant Adams spectral sequence Goro Nishida Hiroshi Toda H-space Heinz Hopf Topological K-theory Homotopy group Michael Atiyah Whitehead product Vector field problem on spheres Adams' theorem Hopf Invariant One Theorem Hopf invariant one Hopf invariant one problem Hopf invariant one theorem
is Wikipage redirect of	Vector field problem on spheres Adams' theorem Hopf Invariant One Theorem Hopf invariant one Hopf invariant one problem Hopf invariant one theorem
is known for of	Heinz Hopf

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