Open Access
October 2014 Fold maps with singular value sets of concentric spheres
Naoki KITAZAWA
Hokkaido Math. J. 43(3): 327-359 (October 2014). DOI: 10.14492/hokmj/1416837569

Abstract

In this paper, we study fold maps from C closed manifolds into Euclidean spaces whose singular value sets are disjoint unions of spheres embedded concentrically. We mainly study homology and homotopy groups of manifolds admitting such maps.

Citation

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Naoki KITAZAWA. "Fold maps with singular value sets of concentric spheres." Hokkaido Math. J. 43 (3) 327 - 359, October 2014. https://doi.org/10.14492/hokmj/1416837569

Information

Published: October 2014
First available in Project Euclid: 24 November 2014

zbMATH: 1307.57018
MathSciNet: MR3282638
Digital Object Identifier: 10.14492/hokmj/1416837569

Subjects:
Primary: 57R45
Secondary: 57N15

Keywords: differential topology , fold maps , singular sets , Singularities of differentiable maps

Rights: Copyright © 2014 Hokkaido University, Department of Mathematics

Vol.43 • No. 3 • October 2014
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