Poincaré spaces, their normal fibrations and surgery

DOI10.1007/BF01425447zbMath0244.57007WikidataQ110907162 ScholiaQ110907162MaRDI QIDQ2554914

William Browder

Publication date: 1972

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142168

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Poincaré duality spaces (57P10)

Related Items

Homotopy of gauge groups over non-simply-connected five-dimensional manifolds, Fundamental class, Poincaré duality and finite oriented \(\mathrm{FC}_4\)-complexes, On four-dimensional Poincaré duality cobordism groups, A homotopy-theoretic proof of Williams's metastable Poincaré embedding theorem, On the various notions of Poincaré duality pair, Finiteness conditions and \(\text{PD}_{r}\)-group covers of \(\text{PD}_{n}\)-complexes, Limits of manifolds in the Gromov-Hausdorff metric space, Spherical fibrations and manifolds, Indecomposable PD\(_{3}\)-complexes, The relationship of generalized manifolds to Poincaré duality complexes and topological manifolds, On the dimension of infinite covers, Constructing manifolds by homotopy equivalences. II: Browder-Novikov-Wall type obstruction to constructing PL- and topological manifolds from homology manifolds, Variétés géométriques et résolutions I. Classes caractéristiques, Poincaré duality complexes in dimension four, A homotopy fibration theorem in dimension four, Novikov’s Conjecture, Stable Thickenings In The Homotopy Category, On exotic characteristic classes for spherical fibrations, On the application of measure of noncompactness to existence theorems

Cites Work

• Unnamed Item
• Poincaré complexes. I
• Spaces satisfying Poincaré duality
• On the Freudenthal theorems
• Thom Complexes
• Embedding 1-connected manifolds