Controlled simple homotopy theory (12 Ergebnisse)

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Softcover. Zustand: Gut. XII, 309 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04797 3540193979 Sprache: Englisch Gewicht in Gramm: 550.

Paperback. Zustand: Brand New. 1983 edition. 97 pages. 9.13x5.98x0.32 inches. In Stock.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of 'control near infinity'. This monograph introduces the category of spaces that are 'boundedly controlled' over the (usually non-compact) metric space Z. It 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. One of the themes of the book is to show that in many cases the proof of a standard result can be easily adapted to prove the boundedly controlled analogue and to provide the details, often omitted in other treatments, of this adaptation. For this reason, the book does not require of the reader an extensive background. In the last chapter it is shown that special cases of the boundedly controlled Whitehead group are strongly related to lower K-theoretic groups, and the boundedly controlled theory is compared to Siebenmann's proper simple homotopy theory when Z = IR or IR2.…

Paperback. Zustand: Brand New. 1st edition. 321 pages. 9.25x6.69x0.73 inches. In Stock.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Applications.- Definitions and notation.- Construction of Wh(y) .- Functorial properties.- Controlled whitehead torsion.- Construction of K0(Y) .- Controlled finiteness obstruction.- Further properties of the controlled finiteness obstruction.- The splitting homomorphism.- The splitting sequence.- The realization theorem.- Calculations.- The Controlled Boundary Theorem.- The Controlled s-Cobordism Theorem.…

Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Applications.- Definitions and notation.- Construction of Wh(y).- Functorial properties.- Controlled whitehead torsion.- Construction of K0(Y).- Controlled finiteness obstruction.- Further properties of the controlled finiteness obstruction.- The splitting homomorphism.- The splitting sequence.- The realization theorem.- Calculations.- The Controlled Boundary Theorem.- The Controlled s-Cobordism Theorem.…

Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 324 | Sprache: Englisch | Produktart: Bücher | Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of "control near infinity". This monograph introduces the category of spaces that are "boundedly controlled" over the (usually non-compact) metric space Z. It 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. One of the themes of the book is to show that in many cases the proof of a standard result can be easily adapted to prove the boundedly controlled analogue and to provide the details, often omitted in other treatments, of this adaptation. For this reason, the book does not require of the reader an extensive background. In the last chapter it is shown that special cases of the boundedly controlled Whitehead group are strongly related to lower K-theoretic groups, and the boundedly controlled theory is compared to Siebenmann's proper simple homotopy theory when Z = IR or IR2.…