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Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 3, Pages 1–13
DOI: https://doi.org/10.4213/faa70 (Mi faa70) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Some Algebraic Properties of Cerf Diagrams of One-Parameter Function Families

P. M. Akhmet'eva, D. Repovšb, M. Cenceljb

a Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation
b University of Ljubljana
Full-text PDF (229 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa70
Abstract: We obtain results concerning Arnold's problem about a generalization of the Pontryagin–Thom construction in cobordism theory to real algebraic functions. The Pontryagin–Thom construction in the Wells form is transferred to the space of real functions. The relation of the problem with algebraic $K$-theory and the $h$-principle due to Eliashberg and Mishachev is revealed.
Keywords: wrinkle, Pontryagin–Thom construction, $h$-principle.
Received: 13.02.2003
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 3, Pages 165–174
DOI: https://doi.org/10.1007/s10688-005-0035-3
Bibliographic databases:
Document Type: Article
UDC: 515.142
Language: Russian
Citation: P. M. Akhmet'ev, D. Repovš, M. Cencelj, “Some Algebraic Properties of Cerf Diagrams of One-Parameter Function Families”, Funktsional. Anal. i Prilozhen., 39:3 (2005), 1–13; Funct. Anal. Appl., 39:3 (2005), 165–174
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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