Controlled K-theory I: Basic Theory

Controlled K-theory I: Basic theory

This paper provides a full controlled version of algebraic K-theory. This includes a rich array of assembly maps; the controlled assembly isomorphism theorem identifying the controlled group with homology; and the stability theorem describing the behavior of the inverse limit as the control parameter goes to 0. There is a careful treatment of spectral cosheaf homology and related tools, includi...

Controlled K - Theory

The controlled finiteness obstruction and torsion are defined using controlled algebra, giving a more algebraic proof of the topological invariance of torsion and the homotopy finiteness of compact ANRs.

Quartic supercyclides I: Basic theory

Various classes of algebraic surfaces have been examined as to their suitability for CAGD purposes. This paper contributes further to the study of a class of quartic surfaces recently investigated by Degen, having strong potential for use in blending, and possibly also in free-form surface design. These surfaces are here put in the context of a classi cation of quartic surfaces originally given...

Algebraic Kasparov K - theory . I

This paper is to construct unstable, Morita stable and stable bivariant algebraic Kasparov K-theory spectra of k-algebras. These are shown to be homotopy invariant, excisive in each variable K-theories. We prove that the spectra represent universal unstable, Morita stable and stable bivariant homology theories respectively. 2010 Mathematics Subject Classification: 19D99, 19K35, 55P42

Linear Scale - Space I : Basic Theory 1