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Topology of [sum ]1, 1-singular maps

Published online by Cambridge University Press:  01 May 1997

ANDRÁS SZŰCS
ANDRÁS SZŰCS
Affiliation:
Department of Analysis, Eötvös University, Budapest, Hungary 1088. E-mail: SZUCSANDRAS@ludens.elte.hu
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Abstract

0. Introduction

Morin [M] gave a local normal form for singular maps having almost maximal rank, where almost maximal means maximal minus 1. The aim of the present paper is to give a global version of his normal form. We concentrate here on the case of [sum ]1, 1, 0-singular maps. (For the definition see [Bo], [A–G–V], [G–G] and also here below.) The case of [sum ]1, 0 singular maps was considered by Haefliger in [Ha], see also [Sz1] and [Sz2]. For the motivation in finding such a global normal form see [Sz1], [Sz2], and the final remarks in this paper.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 121 , Issue 3 , May 1997 , pp. 465 - 477
Copyright
Cambridge Philosophical Society 1997

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