Properties of bordism classes of framed submanifolds of Fredholm structure
type: Item
instance of: scholarly article
title: Properties of bordism classes of framed submanifolds of Fredholm structure
zbMATH Open document ID: 0906.58001
author: N. M. Ratiner
published in: Russian Mathematics
publication date: 1999-01-31T00:00:00Z
review text: Framed submanifolds of a Fredholm structure on a Banach manifold and their bordism groups have first been introduced by K. Elworthy and A. Tromba in order to define the degree of Fredholm mappings of positive index. They were later also used by V. G. Zvyagin and N. M. Ratiner to extend the degree theory to wider classes of mappings and to solutions of nonlinear differential equations. The present article studies the properties of bordism classes of framed submanifolds of a Fredholm structure on a Banach manifold. The results are formulated in three theorems which use a finite-dimensional approximation assumption.
reviewed by: Zvonko Čerin
Mathematics Subject Classification ID: 58B15
zbMATH DE Number: 1158853
zbMATH Keywords: framed submanifolds
zbMATH Keywords: Fredholm structure
zbMATH Keywords: bordism classes
zbMATH Keywords: Banach manifold
zbMATH Keywords: approximation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1158853