Translator Disclaimer
2008 Cobordisms of maps with singularities of given class
Yoshifumi Ando
Algebr. Geom. Topol. 8(4): 1989-2029 (2008). DOI: 10.2140/agt.2008.8.1989

Abstract

Let P be a smooth manifold of dimension p. We will describe the group of all cobordism classes of smooth maps of n–dimensional closed manifolds into P with singularities of given class (including all fold singularities if np) in terms of certain stable homotopy groups by applying the homotopy principle on the existence level, which is assumed to hold for those smooth maps. It will enable us to construct an explicit classifying space for this cobordism group in the dimensions n<p and np2.

Citation

Download Citation

Yoshifumi Ando. "Cobordisms of maps with singularities of given class." Algebr. Geom. Topol. 8 (4) 1989 - 2029, 2008. https://doi.org/10.2140/agt.2008.8.1989

Information

Received: 6 June 2006; Revised: 18 August 2008; Accepted: 10 September 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1172.57013
MathSciNet: MR2449006
Digital Object Identifier: 10.2140/agt.2008.8.1989

Subjects:
Primary: 57R45
Secondary: 57R90, 58A20

Rights: Copyright © 2008 Mathematical Sciences Publishers

JOURNAL ARTICLE
41 PAGES


SHARE
Vol.8 • No. 4 • 2008
MSP
Back to Top