About: Gysin homomorphism

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In the field of mathematics known as algebraic topology, the Gysin sequence is a long exact sequence which relates the cohomology classes of the base space, the fiber and the total space of a sphere bundle. The Gysin sequence is a useful tool for calculating the cohomology rings given the Euler class of the sphere bundle and vice versa. It was introduced by Gysin, and is generalized by the Serre spectral sequence.

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rdfs:label	Gysin-Sequenz (de) Gysin homomorphism (en) 귀진 완전열 (ko)
rdfs:comment	Die Gysin-Sequenz ist in der Mathematik, genauer in der Algebraischen Topologie, eine lange exakte Sequenz, welche die Kohomologieklassen von Basis, Faser und Totalraum eines Sphärenbündels miteinander in Beziehung setzt. Eine Anwendung stellt die Berechnung der Kohomologie aus der Eulerklasse (und umgekehrt) eines Sphärenbündels dar. Die Sequenz wurde 1942 durch Werner Gysin eingeführt. (de) In the field of mathematics known as algebraic topology, the Gysin sequence is a long exact sequence which relates the cohomology classes of the base space, the fiber and the total space of a sphere bundle. The Gysin sequence is a useful tool for calculating the cohomology rings given the Euler class of the sphere bundle and vice versa. It was introduced by Gysin, and is generalized by the Serre spectral sequence. (en) 대수적 위상수학에서 귀진 완전열(Gysin完全列, 영어: Gysin exact sequence)은 초구 올뭉치에 대하여 존재하는, 밑공간과 전체 공간의 코호몰로지를 잇는 긴 완전열이다. (ko)
dcterms:subject	Algebraic topology
Wikipage page ID	7095671 (xsd:integer)
Wikipage revision ID	1121755677 (xsd:integer)
Link from a Wikipage to another Wikipage	Total space De Rham cohomology Algebraic topology Cup product Integration along fibers Mathematics Normal cone Pullback Ergebnisse der Mathematik und ihrer Grenzgebiete Long exact sequence Fundamental class Wedge product Logarithmic form Algebraic topology Fiber bundle Intersection theory Cohomology Cohomology ring Regular embedding Differential form Shriek map Euler class Serre spectral sequence Intersection product Base space Springer-Verlag Wang sequence Fiberwise integral Projection map Cohomology classes dbr:Regular_section dbr:Specialization_homomorphism
Link from a Wikipage to an external page	http://resolver.sub.uni-goettingen.de/purl%3FGDZPPN002053314
sameAs	Gysin homomorphism Gysin homomorphism Gysin homomorphism Gysin homomorphism
dbp:wikiPageUsesTemplate	dbt:' dbt:Citation dbt:Refbegin dbt:Refend dbt:Reflist dbt:Sfn dbt:Harvs
has abstract	Die Gysin-Sequenz ist in der Mathematik, genauer in der Algebraischen Topologie, eine lange exakte Sequenz, welche die Kohomologieklassen von Basis, Faser und Totalraum eines Sphärenbündels miteinander in Beziehung setzt. Eine Anwendung stellt die Berechnung der Kohomologie aus der Eulerklasse (und umgekehrt) eines Sphärenbündels dar. Die Sequenz wurde 1942 durch Werner Gysin eingeführt. (de) In the field of mathematics known as algebraic topology, the Gysin sequence is a long exact sequence which relates the cohomology classes of the base space, the fiber and the total space of a sphere bundle. The Gysin sequence is a useful tool for calculating the cohomology rings given the Euler class of the sphere bundle and vice versa. It was introduced by Gysin, and is generalized by the Serre spectral sequence. (en) 대수적 위상수학에서 귀진 완전열(Gysin完全列, 영어: Gysin exact sequence)은 초구 올뭉치에 대하여 존재하는, 밑공간과 전체 공간의 코호몰로지를 잇는 긴 완전열이다. (ko)
prov:wasDerivedFrom	wikipedia-en:Gysin_homomorphism?oldid=1121755677&ns=0
page length (characters) of wiki page	5094 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Gysin_homomorphism
is Link from a Wikipage to another Wikipage of	Projective bundle Timeline of manifolds Chow group Gysin Gysin sequence Werner Gysin Bloch's higher Chow group Steenrod algebra Scheme-theoretic intersection Riemann–Roch theorem for smooth manifolds Refined Gysin homomorphism Gysin Sequence Gysin exact sequence Gysin map Gysin morphism
is Wikipage redirect of	Gysin sequence Refined Gysin homomorphism Gysin Sequence Gysin exact sequence Gysin map Gysin morphism
is Wikipage disambiguates of	Gysin
is foaf:primaryTopic of	wikipedia-en:Gysin_homomorphism

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