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Topology of Spaces of S-Immersions

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Perspectives in Analysis, Geometry, and Topology

Part of the book series: Progress in Mathematics ((PM,volume 296))

Abstract

We use the wrinkling theorem proven in [EM97] to fully describe the homotopy type of the space of S-immersions, i.e., equidimensional folded maps with prescribed folds.

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Notes

  1. 1.

    The second approach also works for q = 1 and any W. The case W = T2can also be treated by a slight modification of this method.

References

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Acknowledgement

Partially supported by NSF grants DMS-0707103 and DMS 0244663

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Authors and Affiliations

  1. Department of Mathematics, Stanford University, 450 Serra Mall, Bldg. 380, Stanford, CA, 94305-2125, USA

    Yakov Eliashberg

  2. Lipetsk Technical University, Moskovskaja ul. 30, Lipetsk, 398055, Russia

    Nikolai Mishachev

Authors
  1. Yakov Eliashberg
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  2. Nikolai Mishachev
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Corresponding author

Correspondence to Yakov Eliashberg .

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Editors and Affiliations

  1. Université Pierre et Marie Curie and Institut Universitaire de France Institut de Mathématiques de Jussieu, 4 place Jussieu, 75005, Paris, France

    Ilia Itenberg

  2. Institut des Hautes Études Scientifiques Le Bois-Marie, 35, route de Chartres, Bures-sur-Yvette, 91440, France

    Burglind Jöricke

  3. Department of Mathematics, Stockholm University, Stockholm, SE-10691, Sweden

    Mikael Passare

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Eliashberg, Y., Mishachev, N. (2012). Topology of Spaces of S-Immersions. In: Itenberg, I., Jöricke, B., Passare, M. (eds) Perspectives in Analysis, Geometry, and Topology. Progress in Mathematics, vol 296. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8277-4_7

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