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Is there a characterization of injective $C(X)$-modules analogous to Serre-Swan?

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#general-topology #vector-bundles #topological-k-theory
3.3k
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How to understand the Todd class?

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#algebraic-topology #topological-k-theory #characteristic-classes
282
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Why $TN\cong \pi^{*}N\oplus \pi^{*}N$?

Published on
#topological-k-theory
347
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Proof of external product theorem using K-theory

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#topological-k-theory
478
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Ring structure of K-theory of a wedge of spheres

Published on
#algebraic-topology #ring-theory #topological-k-theory
726
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Ring structure on K-theory of an even-dimensioned sphere

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#algebraic-topology #ring-theory #topological-k-theory
724
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How to compute the formal group law of K-Theory

Published on
#reference-request #topological-k-theory #algebraic-k-theory
1k
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The Atiyah Hirzebruch Spectral Sequence

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#algebraic-topology #topological-k-theory #spectral-sequences
429
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Example of non-isomorphic vector bundles with the same element in $K$

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#algebraic-topology #vector-bundles #topological-k-theory
535
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Weak Bott periodicity vs. strong Bott periodicity

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#algebraic-topology #topological-k-theory
494
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$K$-theory of smooth manifolds: continuous vs. smooth vector bundles

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#reference-request #manifolds #topological-k-theory
1.2k
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8 periodicity: Clifford clock- Bott periodicity - KO-dimension in noncommutative geometries

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#algebraic-topology #differential-geometry #topological-k-theory #noncommutative-geometry #k-theory
178
Views

How can I see that when $X$ is a trivial $G$-space, $K(X) \otimes R(G) \rightarrow K_G(X)$ is an isomorphism?

Published on
#algebraic-topology #topological-k-theory
341
Views

What's the K-group of a surface?

Published on
#algebraic-topology #surfaces #topological-k-theory
324
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K-theory for non-separable C*-algebras

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#operator-algebras #c-star-algebras #topological-k-theory #k-theory

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