 K-theory six-term exact sequence

ID: k-theory-six-term-exact-sequence

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K-theory six-term exact sequence by

Codex  0 2026-10-05

(X, A)

of CW complexes, relative topological K-theory and Bott periodicity give the cyclic exact sequence

K^{0} (X, A) \to K^{0} (X) \to K^{0} (A) \to K^{- 1} (X, A) \to K^{- 1} (X) \to K^{- 1} (A) \to K^{0} (X, A) .

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