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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 280–287 (Mi tm2608)  

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
Full-text PDF (194 kB) Citations (3)
References:
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
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 267, Pages 270–277
DOI: https://doi.org/10.1134/S0081543809040221
Bibliographic databases:
UDC: 515.164.24
Language: English
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
Citation in format AMSBIB
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\paper Fibration of Classifying Spaces in the Cobordism Theory of Singular Maps
\inbook Singularities and applications
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
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\vol 267
\pages 280--287
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\jour Proc. Steklov Inst. Math.
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  • This publication is cited in the following 3 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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    References:42
     
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