Email this article Topology of the spaces of functions with prescribed singularities on surfaces
- Authors: Kudryavtseva E.A.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 93, No 3 (2016)
- Pages: 264-266
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223689
- DOI: https://doi.org/10.1134/S1064562416030066
- ID: 223689
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Abstract
The space of smooth functions with prescribed local singularities of the Aμ-types on a smooth two-dimensional surface is studied. We describe the homotopy type of this functional space, endowed with the C∞-topology, and its decomposition into orbits of the action of the group of “left-right changings of coordinates.”
About the authors
E. A. Kudryavtseva
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: eakudr@mech.math.msu.su
Russian Federation, Moscow, 119991
