K-Theory and Geometric Topology

Jonathan Rosenberg ()
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Jonathan Rosenberg: University of Maryland

Chapter III.2 in Handbook of K-Theory, 2005, pp 577-610 from Springer

Abstract: Abstract Historically, one of the earliest motivations for the development of K-theory was the need to put on a firm algebraic foundation a number of invariants or obstructions that appear in topology. The primary purpose of this chapter is to examine many of these K-theoretic invariants, not from a historical point of view, but rather a posteriori, now that K-theory is a mature subject.

Keywords: Vector Bundle; Homotopy Group; Lens Space; Weak Equivalence; Complex Vector Bundle (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/978-3-540-27855-9_12

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