This article is cited in 2 papers

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

P. M. Akhmet'ev^a, D. Repovš^b, M. Cencelj<sup>b

a</sup> Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation
^b University of Ljubljana

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.

UDC: 515.142

Received: 13.02.2003

DOI: 10.4213/faa70

 English version: Functional Analysis and Its Applications, 2005, 39:3, 165–174

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