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.
Citation
Jean-François Lafont. "A Note on Strong Jordan Separation." Publ. Mat. 53 (2) 515 - 525, 2009.
Information
Published: 2009
First available in Project Euclid: 20 July 2009
zbMATH: 1171.57023
MathSciNet: MR2543863
Subjects:
Primary:
57N99
Secondary:
55M05
,
57N45
Keywords:
Alexander duality
,
codimension one taming
,
Jordan separation
Rights: Copyright © 2009 Universitat Autònoma de Barcelona, Departament de Matemàtiques