Abstract
The concept of thickening was systematically studied by C. T. C. Wall in [Wall C. T. C.: Classification problems in differential topology—IV. Thickenings. Topology 5 (1966), 73–94]. The suspension theorem of that paper is an exact sequence relating the n-dimensional thickenings of a finite complex to its (n + 1)-dimensional ones. The object of this note is to fill in what we believe is a missing argument in the proof of that theorem.
Received: 2005-02-03
Revised: 2005-05-25
Published Online: 2006-10-13
Published in Print: 2006-09-01
© Walter de Gruyter
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Artikel in diesem Heft
- Evenness symmetry and inter-relationships between gap probabilities in random matrix theory
- Higher-order Sobolev and Poincaré inequalities in Orlicz spaces
- Characteristically nilpotent Lie algebras and symplectic structures
- Equalities in algebras of generalized functions
- A geometric study of generalized Neuwirth groups
- On C. T. C. Wall's suspension theorem
- On compactness of Sobolev embeddings in rearrangement-invariant spaces
- Extending rationally connected fibrations
Artikel in diesem Heft
- Evenness symmetry and inter-relationships between gap probabilities in random matrix theory
- Higher-order Sobolev and Poincaré inequalities in Orlicz spaces
- Characteristically nilpotent Lie algebras and symplectic structures
- Equalities in algebras of generalized functions
- A geometric study of generalized Neuwirth groups
- On C. T. C. Wall's suspension theorem
- On compactness of Sobolev embeddings in rearrangement-invariant spaces
- Extending rationally connected fibrations