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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 286, Pages 262–274
DOI: https://doi.org/10.1134/S0371968514030145 (Mi tm3567) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Deformations and contractions of algebraic structures

Alice Fialowski

Institute of Mathematics, Eötvös Loránd University, Budapest, Hungary
Full-text PDF (220 kB) Citations (6)
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DOI: https://doi.org/10.1134/S0371968514030145
Abstract: We describe the basic notions of versal deformation theory of algebraic structures and compare it with the analytic theory. As a special case, we consider the notion of versal deformation used by Arnold. With the help of versal deformation we get a stratification of the moduli space into projective orbifolds. We compare this with Arnold's stratification in the case of similarity of matrices. The other notion we discuss is the opposite notion of contraction.
Received in October 2013
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 286, Pages 240–252
DOI: https://doi.org/10.1134/S0081543814060145
Bibliographic databases:
Document Type: Article
UDC: 512.664.3
Language: English
Citation: Alice Fialowski, “Deformations and contractions of algebraic structures”, Algebraic topology, convex polytopes, and related topics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 286, MAIK Nauka/Interperiodica, Moscow, 2014, 262–274; Proc. Steklov Inst. Math., 286 (2014), 240–252
Citation in format AMSBIB
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\by Alice~Fialowski
\paper Deformations and contractions of algebraic structures
\inbook Algebraic topology, convex polytopes, and related topics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2014
\vol 286
\pages 262--274
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • https://doi.org/10.1134/S0371968514030145
  • https://www.mathnet.ru/eng/tm/v286/p262
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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