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15
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$K$-Theory of $BU(n)$

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#reference-request #algebraic-topology #topological-k-theory
731
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long exact sequence in $K$-theory

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#algebraic-topology #topological-k-theory
79
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Is there a sense in which $\tilde{K}$ is an exact functor?

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#category-theory #abelian-categories #functors #k-theory #topological-k-theory
160
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Why does this short exact sequence split?

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#functional-analysis #continuity #vector-bundles #exact-sequence #topological-k-theory
31
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A map from a $ G_1 $ - equivariant KK-theory of Kasparov, to a $ G_2 $ - equivariant KK-theory of Kasparov

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#operator-algebras #c-star-algebras #k-theory #topological-k-theory
79
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Equivalence of two definitions of $K^{-1}$ in complex $K$-theory

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#algebraic-topology #homology-cohomology #k-theory #topological-k-theory
157
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What is the meaning of $KO^{-1}(S^1)$?

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#vector-bundles #characteristic-classes #k-theory #topological-k-theory
169
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Complex topological K-theory - the book

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#topological-k-theory
206
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Help with the setup for Atiyah's proof of Bott Periodicity.

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#algebraic-topology #k-theory #topological-k-theory
84
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Topological index in Atiyah Singer

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#differential-geometry #algebraic-topology #differential-topology #topological-k-theory #elliptic-operators
142
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Example of a space whose complex K-theory is not easily computable from singular cohomology

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#algebraic-topology #k-theory #topological-k-theory
228
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K-theory proof of index theorem - some minor confusion

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#algebraic-topology #differential-topology #topological-k-theory
50
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Definition of odd topological K-theory using circles

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#homology-cohomology #vector-bundles #k-theory #topological-k-theory
66
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Generalizing the clutching construction to more contractible open sets

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#algebraic-topology #vector-bundles #topological-k-theory
91
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K-Theory Equivalence Classes

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#differential-geometry #k-theory #topological-k-theory

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