Spaces of PL manifolds and categories of simple maps / Friedhelm Waldhausen, Bjørn Jahren, and John Rognes.

By:

Waldhausen, Friedhelm, 1938-

Contributor(s):

Material type: Text

TextSeries: Annals of mathematics studies ; no. 186.Publication details: Princeton : Princeton University Press, 2013.Description: 1 online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781400846528
1400846528

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Spaces of PL manifolds and categories of simple maps.DDC classification:

514/.22 23

LOC classification:

QA613.4 .W35 2013eb

Online resources:

Click here to access online

Contents:

Frontmatter -- Contents -- Introduction -- 1. The stable parametrized h-cobordism theorem -- 2. On simple maps -- 3. The non-manifold part -- 4. The manifold part -- Bibliography -- Symbols -- Index.

Summary: Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared until now. This book presents such a proof, essentially completing Waldhausen's program from more than thirty years ago. The main result is a stable parametrized h-cobordism theorem, derived from a homotopy equivalence between a space of PL h-cobordisms on a space X and the classifying space of a category of simple maps of spaces having X as deformation retract.

Item type:

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references and index.

Print version record.

Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared until now. This book presents such a proof, essentially completing Waldhausen's program from more than thirty years ago. The main result is a stable parametrized h-cobordism theorem, derived from a homotopy equivalence between a space of PL h-cobordisms on a space X and the classifying space of a category of simple maps of spaces having X as deformation retract.

Frontmatter -- Contents -- Introduction -- 1. The stable parametrized h-cobordism theorem -- 2. On simple maps -- 3. The non-manifold part -- 4. The manifold part -- Bibliography -- Symbols -- Index.

In English.

eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - Worldwide

There are no comments on this title.

to post a comment.