h-COBORDISMS AND MAPPING CYLINDER OBSTRUCTIONS

DOI10.1017/S1446788708000487zbMath1195.57055MaRDI QIDQ3634626

Bogdan Vajiac

Publication date: 25 June 2009

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

cobordismWhitehead groupstratified space\(h\)-cobordism\(s\)-cobordismcontinuously controlled \(K\)-theorygeometric modulemapping cylinder obstructionrelative manifold

Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) (h)- and (s)-cobordism (57R80) Whitehead (and related) torsion (19J10) Stratifications in topological manifolds (57N80) Cobordism in PL-topology (57Q20) Neighborhoods of submanifolds (57N40) Regular neighborhoods in PL-topology (57Q40) Finiteness and other obstructions in (K_0) (19J05)

Cites Work

• Ends of Maps. II
• Controlled simple homotopy theory and applications
• Ends of maps. I
• Homotopy conditions which detect simple homotopy equivalences
• An end theorem for stratified spaces
• Algebraic \(K\)-theory with continuous control at infinity
• Controlled \(K\)-theory
• A comparison of continuously controlled and controlled \(K\)-theory
• Lectures on the theorem of Browder and Novikov and Siebenmann's thesis
• The algebraic theory of finiteness obstruction.
• Homotopically Stratified Sets
• Topological Invariance of Whitehead Torsion
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Ends of Maps, IV: Controlled Pseudoisotopy
• Whitehead torsion
• Geometric Groups and Whitehead Torsion