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Confusion about relationship between operator $K$-theory and topological $K$-theory

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#proof-verification #operator-theory #vector-bundles #k-theory #topological-k-theory
64
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How does the class of the tangent bundle behave in the K-theory ring?

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#differential-geometry #vector-bundles #topological-k-theory
376
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What is a "formal" difference of vector bundles?

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#algebraic-topology #vector-bundles #topological-k-theory
142
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Analytic Grothendieck Riemann Roch

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#differential-geometry #algebraic-geometry #reference-request #intersection-theory #topological-k-theory
650
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Vector bundle over projective space

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#vector-spaces #vector-bundles #topological-vector-spaces #fiber-bundles #topological-k-theory
163
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Definition of a (topologically) continuous functor

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#general-topology #algebraic-topology #topological-k-theory
54
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How is $K(X\times S^2)$ a $K(X)$ module ?

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#algebraic-topology #k-theory #topological-k-theory
227
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Tietze extension theorem for vector bundles on paracompact spaces

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#general-topology #vector-bundles #topological-k-theory #paracompactness
635
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question about the Thom space

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#differential-geometry #algebraic-topology #topological-k-theory
133
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homotopy cofibers (Thom spaces)

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#differential-geometry #algebraic-topology #vector-bundles #topological-k-theory
1.4k
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Why is $H^*(\mathbb{CP}^\infty, \mathbb{Z})$ not $\mathbb{Z}[[x]]$?

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#algebraic-topology #homology-cohomology #topological-k-theory
125
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question about a notation in Atiyah's book K-Theory

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#algebraic-topology #topological-k-theory
100
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property of vector bundles in thom spaces

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#differential-geometry #algebraic-topology #vector-bundles #topological-k-theory
97
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An exercise in Atiyah's book K-Theory

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#algebraic-topology #vector-bundles #topological-k-theory
55
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How to prove a Kuenneth Theorem for K-theory

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#topological-k-theory

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