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Homotopy theory, homological algebra, algebraic treatments of manifolds.

4 votes
1 answer
205 views

Bott periodicity homeomorphisms for spaces of Clifford extensions

I am trying to prove the following statement of real Bott periodicity, on the level of actual spaces of Clifford module extensions (i.e., not equivalence classes of modules). Let $W = \mathbb{R}^{\in …
Matt C's user avatar
  • 151
1 vote

Bott periodicity homeomorphisms for spaces of Clifford extensions

I believe I have the idea of a proof. Apologies for the mess - hopefully it is somewhat intelligible (and somewhat correct). We follow the form of this isomorphism: $Cl_{n+8} \cong Cl_n\otimes_\math …
Matt C's user avatar
  • 151