Geometry & Topology, Vol. 3 (1999) Paper no. 4, pages 103--118.

Embeddings from the point of view of immersion theory : Part II

Thomas G Goodwillie, Michael Weiss


Abstract. Let M and N be smooth manifolds. For an open V of M let emb(V,N) be the space of embeddings from V to N. By results of Goodwillie and Goodwillie--Klein, the cofunctor V |--> emb(V,N) is analytic if dim(N)-dim(M) > 2. We deduce that its Taylor series converges to it. For details about the Taylor series, see Part I.

Keywords. Embedding, immersion, calculus of functors

AMS subject classification. Primary: 57R40. Secondary: 57R42.

DOI: 10.2140/gt.1999.3.103

E-print: arXiv:math.GT/9905203

Submitted to GT on 10 May 1998. (Revised 5 May 1999.) Paper accepted 13 May 1999. Paper published 28 May 1999.

Notes on file formats

Thomas G Goodwillie, Michael Weiss
Department of Mathematics, Brown University
Box 1917, Providence RI 02912--0001, USA
and
Department of Mathematics, University of Aberdeen
Aberdeen AB24 3UE, UK
Email: tomg@math.brown.edu, m.weiss@maths.abdn.ac.uk

GT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.