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• CommentRowNumber1.
• CommentTimeJan 5th 2015

Created the page semi-topological K-theory.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJan 5th 2015
• (edited Jan 6th 2015)

Thanks for this!

Semitopological K-theory smells like it must be related to the discussion of K-theory in the differential cohomology hexagon here, following Bunke-Nikolaus-Völkl. There one also considers K-theory sheaves, then forms their $\mathbb{R}^1$-localization (shape modality $\Pi$!) and finds topological K-theory.

In fact what is discussed there very much smells like it wants to be a sheaf over a product of geometries modeled on $\mathbb{R}^1$ and on $\mathbb{A}^1$ as in differential algebraic K-theory, which makes the conceptual similarity to semitopoligical K-theory even stronger.

• CommentRowNumber3.