Fibration of classifying spaces in the cobordism theory of singular maps

DOI10.1134/S0081543809040221zbMath1206.57035OpenAlexW2137955170MaRDI QIDQ600706

Tamás Terpai

Publication date: 1 November 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543809040221

zbMATH Keywords

classifying spacesfibrationsingular mapscobordism theory

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Singularities of differentiable mappings in differential topology (57R45) Other types of cobordism (57R90) Fiber spaces in algebraic topology (55R05) Cobordism in PL-topology (57Q20)

Cites Work

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• Cobordism group of fold maps of oriented 3-manifolds into the plane
• Cobordism of singular maps
• Pontrjagin-Thom-type construction for maps with singularities
• Cobordism groups of immersions of oriented manifolds
• Fold maps on 4-manifolds
• The compression theorem I
• Classification of singular fibres of stable maps of 4-manifolds into 3-manifolds and its applications
• A Second note on Symmetry of Singularities
• Self-intersection class for singularities and its application to fold maps
• COBORDISMS OF FOLD MAPS AND MAPS WITH A PRESCRIBED NUMBER OF CUSPS
• Symmetry properties of singularities of \(C^\infty\)-functions

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