Boundedly Controlled Topology: Foundations of Algebraic Topology and Simple Homotopy Theory

ISBN-13: 9783540193975 / Angielski / Miękka / 1988 / 310 str.

Douglas R. Anderson; Hans J. Munkholm

Opis

Introduces the category of spaces that are 'boundedly controlled' over the (usually non-compact) metric space Z. This monograph sets out to develop the algebraic and geometric tools needed to formulate and to prove boundedly controlled analogues of many of the standard results of algebraic topology and simple homotopy theory.

Spis treści

Category theoretic foundations.- The algebraic topology of boundedly controlled spaces.- The geometric, boundedly controlled whitehead group.- Free and projective rpg modules the algebraic whitehead groups of rpg.- The isomorphism between the geometric and algebraic whitehead groups.- Boundedly controlled manifolds and the s-cobordism theorem.- Toward computations.