Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-28T05:43:17.462Z Has data issue: false hasContentIssue false
  • English
  • Français

SPINES AND EMBEDDINGS OF n-MANIFOLDS

Published online by Cambridge University Press:  01 February 1999

SERGEI MATVEEV  and
DALE ROLFSEN
SERGEI MATVEEV
Affiliation:
Department of Mathematics, Chelyabinsk University, Chelyabinsk 454136, Russia
DALE ROLFSEN
Affiliation:
Mathematics Department, University of British Columbia, Vancouver, Canada V6T 1Z2
Get access

Abstract

Every compact, connected PL manifold Mn, with ∂Mn≠[emptyv ], collapses to a codimension-one subpolyhedron Qn−1, called a spine of Mn. The purpose of this paper is to prove that, if Qn−1 is appropriately chosen, one can reconstruct Mn from Qn−1, after taking the Cartesian product with an interval I=[0, 1].

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 359 - 368
Copyright
The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)