Manifolds with fundamental group a generalized free product. I

DOI10.1090/S0002-9904-1974-13673-6zbMath0341.57007MaRDI QIDQ4109014

Sylvain E. Cappell

Publication date: 1974

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

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Homotopy equivalences in algebraic topology (55P10) Surgery and handlebodies (57R65) Fundamental group, presentations, free differential calculus (57M05) (h)- and (s)-cobordism (57R80) Algebraic topology of manifolds (57N65) Embeddings and immersions in PL-topology (57Q35)

Related Items (19)

The surgery obstruction groups of the infinite dihedral group ⋮ L-theory and graphs of free abelian groups ⋮ On fibering and splitting of 5-manifolds over the circle ⋮ Reduction of UNil for finite groups with normal abelian Sylow 2-subgroup ⋮ Manifolds homotopy equivalent to \(P^{n} \# P^{n}\) ⋮ An infinite family of non-Haken hyperbolic 3-manifolds with vanishing Whitehead groups ⋮ Structure Sets Vanish for Certain Bundles over Seifert Manifolds ⋮ Unitary nilpotent groups and Hermitian $K$-theory. I ⋮ Une obstruction pour scinder une équivalence d'homotopie en dimension $3$ ⋮ Cancellation for 4-manifolds with virtually abelian fundamental group ⋮ Manifolds with fundamental group a generalized free product. I ⋮ On the calculation of UNil ⋮ Whitehead groups of certain hyperbolic manifolds ⋮ Homotopy invariance of 4-manifold decompositions: connected sums ⋮ On homotopy invariance of higher signatures ⋮ A splitting theorem for manifolds ⋮ Topological rigidity and \(H_1\)-negative involutions on tori ⋮ Four-dimensional topology: an introduction ⋮ Generalized Arf invariants in algebraic \(L\)-theory

Cites Work

• On connected sums of manifolds
• On homotopy invariance of higher signatures
• A splitting theorem for manifolds
• Fibering manifolds over a circle
• Wall's surgery obstruction groups for GxZ
• On four dimensional surgery and applications
• Manifolds with π 1 = G x α T
• Unitary nilpotent groups and Hermitian $K$-theory. I
• Manifolds with fundamental group a generalized free product. I
• Splitting obstructions for Hermitian forms and manifolds with 𝑍₂⊂𝜋₁
• Manifolds with $\pi _1 = Z$
• A splitting theorem for manifolds and surgery groups
• Unnamed Item
• Unnamed Item

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