A multiple disjunction lemma for smooth concordance embeddings / Thomas G. Goodwillie.

Format:

Book

Author/Creator:

Goodwillie, Thomas G. (Thomas Gehret), 1954- author.

Series:

Memoirs of the American Mathematical Society ; Volume 86, Number 431.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 86, Number 431

Language:

English

Subjects (All):

Concordances (Topology).

Embeddings (Mathematics).

Piecewise linear topology.

Physical Description:

1 online resource (329 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island, United States : American Mathematical Society, 1990.

Language Note:

English

Summary:

Requiring background in basic differential topology, this book is aimed at researchers interested in the homotopy type of spaces of smooth embeddings and spaces of diffeomorphisms. The author provides a proof of a useful connectivity estimate in the theory of concordances (or pseudo-isotopies), generalizing Morlet's result from triads to n-ads. The method of proof is a differentiable general position technique analogous to piecewise-linear sunny collapsing.

Contents:

Table Of Contents

Abstract

INTRODUCTION

A. Spaces of Concordances

B. Known Results

C. The Multiple Disjunction Lemma

D. Sketch of the Proof

PRELIMINARIES

Chapter II. The Collection Z of Multijet Sets

A. Invariant Algebraic sets of complex multijets

B. Operations on Sets of multijets

C. Z

D. Singular Sets for fibered Concordances

Chapter III. Proof of theorem D

A. Structure of the Proof

B. Proof of (189)

C. (189)[sub(a+1)] ==> (189)[sub(α)]

D. One Last Sunny Collapse

Bibliography.

Notes:

"July 1990, Volume 86, Number 431 (first of 2 numbers)"--Cover.

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0854-6