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Topological K-theory

In mathematics, topological K-theory is a branch of algebraic topology. It was founded to study vector bundles on topological spaces, by means of ideas now recognised as (general) K-theory that were introduced by Alexander Grothendieck. The early work on topological K-theory is due to Michael Atiyah and Friedrich Hirzebruch.

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Bott periodicity

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Topological K-theory

Nodes56
Edges55
Triples29
Avg. degree1.96
Density0.035714
Components1

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Topological K-theory

Top relations

related to Properties · 20
Topological K-theory → Adams, BO, BU, Chern, For, Gr, K-groups, K-theory, KK-theory, Similarly, Steenrod, The, The Atiyah-Hirzebruch, The Splitting, The Thom, There, They, This, Thom, Thus
related to Chern character · 5
Topological K-theory → CW, Friedrich Hirzebruch, In, K-theory, Michael Atiyah
has application · 3
Topological K-theory → Adams, Hopf, John Frank Adams
is a · 1
Topological K-theory → branch of algebraic topology

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Important terminology

k-theory displaystyle topological bundles mathbb vector cong widetilde spaces periodicity group theorem bu times grothendieck space defined classes trivial reduced

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Topological K-theoryis abranch of algebraic topology0.90text
Topological K-theoryhas applicationJohn Frank Adams0.60section
Topological K-theoryhas applicationHopf0.60section
Topological K-theoryhas applicationAdams0.60section
Topological K-theoryrelated to Chern characterMichael Atiyah0.60section
Topological K-theoryrelated to Chern characterFriedrich Hirzebruch0.60section
Topological K-theoryrelated to Chern characterK-theory0.60section
Topological K-theoryrelated to Chern characterCW0.60section
Topological K-theoryrelated to Chern characterIn0.60section
Topological K-theoryrelated to PropertiesThus0.60section
Topological K-theoryrelated to PropertiesK-theory0.60section
Topological K-theoryrelated to PropertiesThe0.60section

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