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Proof for a classifying space for $K$ Theory.

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#algebraic-topology #operator-theory #homotopy-theory #operator-algebras #topological-k-theory
62
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Characteristic class corresponding to $K_\mathbb{R}(S^1)$

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#algebraic-topology #characteristic-classes #topological-k-theory
319
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What does it mean to say $K$-theory satisfy Mayer–Vietoris sequence?

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#algebraic-topology #k-theory #topological-k-theory #algebraic-k-theory
730
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K-theory of classifying spaces

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#algebraic-topology #k-theory #topological-k-theory #classifying-spaces
143
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Constructing abelian group from commutative monoid.

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#group-theory #algebraic-topology #monoid #k-theory #topological-k-theory
50
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Clarification of statement

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#algebraic-topology #vector-bundles #k-theory #topological-k-theory #pullback
42
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Values of the $\mathbb{Z}/2$-spectrum $KR$ of $K$-theory with Reality

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#algebraic-topology #homotopy-theory #topological-k-theory #stable-homotopy-theory
115
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Some K-theory Examples

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#general-topology #reference-request #vector-bundles #k-theory #topological-k-theory
83
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K-theory functoriality understanding

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#category-theory #abelian-groups #functors #k-theory #topological-k-theory
150
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Theorem for the external product in K-theory and reduced version

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#abstract-algebra #algebraic-topology #proof-explanation #topological-k-theory
73
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Let $h,h'$ be hermitian metric over vector space $V$, then grassmanian $G_n(V_h)\to G_n(V_{h'})$ is always continuous?

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#differential-geometry #algebraic-topology #k-theory #grassmannian #topological-k-theory
46
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$C^m\to C^{m-1}$ projection map projecting out last factor inducing $G_n(C^{m-1})\to G_n(C^m)$?

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#algebraic-topology #k-theory #grassmannian #topological-k-theory
200
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Complex line bundles with connection can be parametrized by unitary character of fundamental group

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#mathematical-physics #complex-geometry #symplectic-geometry #k-theory #topological-k-theory
101
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a unitary does not in general lift to a unitary

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#c-star-algebras #k-theory #topological-k-theory #algebraic-k-theory
30
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the isomorphism of $D(B(H))$,where ,$H$ is an infinite dimensional inseparable Hilbert space.

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

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