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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 280–287
(Mi tm2608)
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This article is cited in 3 scientific papers (total in 3 papers)
Fibration of Classifying Spaces in the Cobordism Theory of Singular Maps
T. Terpai Alfréd Rényi Institute of Mathematics, Budapest, Hungary
Abstract:
In the cobordism theory of singular smooth maps there exist classifying spaces (analogues of Thom spectra) depending on the set of allowed singularity types. The so-called “key fibration” introduced by A. Szűcs connects these classifying spaces for different sets of allowed singularities. Here we prove the existence of such a fibration using a new, more simple and general argument than that of Szűcs. This makes it possible to extend the range of applications to some negative codimension maps.
Received in September 2008
Citation:
T. Terpai, “Fibration of Classifying Spaces in the Cobordism Theory of Singular Maps”, Singularities and applications, Collected papers, Trudy Mat. Inst. Steklova, 267, MAIK Nauka/Interperiodica, Moscow, 2009, 280–287; Proc. Steklov Inst. Math., 267 (2009), 270–277
Linking options:
https://www.mathnet.ru/eng/tm2608 https://www.mathnet.ru/eng/tm/v267/p280
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