Publicacions Matemàtiques

A Note on Strong Jordan Separation

Jean-François Lafont

Source: Publ. Mat. Volume 53, Number 2 (2009), 515-525.

Abstract

We establish a strengthening of Jordan separation, to the setting of maps $f\colon X \rightarrow S^{n+1}$, where $X$ is not necessarily a manifold, and $f$ is not necessarily injective.

Primary Subjects: 57N99
Secondary Subjects: 55M05, 57N45
Keywords: Jordan separation; Alexander duality; codimension one taming

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pm/1248095667
Zentralblatt MATH identifier: 05591308


2009 © Universitat Autònoma de Barcelona, Departament de Matemàtiques