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15
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Under what circumstances is a map of representation rings surjective?

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#algebraic-topology #representation-theory #lie-groups #topological-k-theory
338
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Atiyah–Jänich for $K_1$

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#algebraic-topology #k-theory #topological-k-theory #classifying-spaces #algebraic-k-theory
224
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What does it mean for this exact sequence to split?

Published on
#homological-algebra #topological-k-theory
334
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The dimension of kernels of a continuous family of Fredholm operators is upper semi continuous

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#functional-analysis #operator-theory #topological-k-theory
305
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Complex K-theory: Inducing natural transformations to $BU$

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#k-theory #topological-k-theory
148
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Using splitting principle to construct to Stiefel Whitney classes

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#vector-bundles #characteristic-classes #topological-k-theory
532
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Very detailed book for topological K-theory

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#reference-request #algebraic-topology #book-recommendation #topological-k-theory
66
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The semigroup of vector bundles by gluing of contractible patches

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#homotopy-theory #vector-bundles #k-theory #topological-k-theory
2k
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Why is stable equivalence necessary in topological K-theory?

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#algebraic-topology #topological-k-theory
2.3k
Views

Topological vs. Algebraic $K$-Theory

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#algebraic-topology #homology-cohomology #c-star-algebras #topological-k-theory #algebraic-k-theory
497
Views

What's the map $BU \times \mathbb{Z} \to \prod K(\mathbb{Z},n)$ representing the total Chern class?

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#algebraic-topology #characteristic-classes #topological-k-theory #k-theory
194
Views

Why Are These Two Morphisms the Same?

Published on
#algebraic-topology #topological-k-theory
276
Views

Asking an exact sequence of $K(X)$ modules

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#topological-k-theory
1.9k
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$K(\mathbb R P^n)$ from $K(\mathbb C P^k)$

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#algebraic-topology #topological-k-theory
2.7k
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Topological K-theory references

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#reference-request #algebraic-topology #book-recommendation #topological-k-theory

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