Continuously controlled \(A\)-theory
type: Item
instance of: scholarly article
title: Continuously controlled \(A\)-theory
zbMATH Open document ID: 0842.55005
DOI: 10.1007/BF00998130
author: Wolrad Vogell
published in: \(K\)-Theory
publication date: 1996-08-04T00:00:00Z
review text: If \(B\) is a metric space then a controlled space is a pair \((X,p)\) where \(X\) is a space and \(p : X \to B\) is a map. Generalizing a construction of D. R. Anderson, F. X. Connolly, S. Ferry and E. K. Pedersen (in preprint), the author defines a functor, called continuously controlled \(A\)-theory, which depends only on the topology of the space \(B\), not on its metric structure. The author reproves some results concerning the structure of continuously controlled K-theory of rings (resp. additive categories).
Mathematics Subject Classification ID: 55N15
Mathematics Subject Classification ID: 19L99
zbMATH DE Number: 827893
zbMATH Keywords: controlled space
zbMATH Keywords: continuously controlled \(A\)-theory
zbMATH Keywords: continuously controlled K-theory
reviewed by: I. D. Albu
MaRDI profile type: Publication
cites work: Geometric modules and algebraic \(K\)-homology theory
cites work: Algebraic \(K\)-theory with continuous control at infinity
cites work: Continuously controlled algebraic \(K\)-theory of spaces and the Novikov conjecture
cites work: Q3828723
cites work: Q3935870
cites work: Algebraic K-theory of spaces, with bounded control
cites work: Boundedly controlled algebraic \(K\)-theory of spaces and its linear counterexamples
description: scientific article; zbMATH DE number 827893