Chapman's classification of shapes. A proof using collapsing
From MaRDI portal
Publication:1220741
DOI10.1007/BF01323466zbMath0314.55012MaRDI QIDQ1220741
Publication date: 1975
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/154350
Embeddings and immersions in topological manifolds (57N35) Homotopy theory (55P99) Compact (locally compact) metric spaces (54E45)
Related Items
On nonacyclicity of the quotient space of \({\mathbb R}^{3}\) by the solenoid ⋮ Examples of cohomology manifolds which are not homologically locally connected ⋮ On noncontractible compacta with trivial homology and homotopy groups ⋮ Cell-like mappings and their generalizations ⋮ Finding a boundary for a Hilbert cube manifold ⋮ Shape theory ⋮ Every Weak Proper Homotopy Equivalence is Weakly Properly Homotopic to a Proper Homotopy Equivalence ⋮ The missing boundary problem for smooth manifolds of dimension greater than or equal to six ⋮ Some applications of lattice theory to shape theory
Cites Work
- Unnamed Item
- Unnamed Item
- Two complexes which are homeomorphic but combinatorially distinct
- Finding a boundary for a Hilbert cube manifold
- Lectures on the theorem of Browder and Novikov and Siebenmann's thesis
- Concerning the Shapes of Finite-Dimensional Compacta
- Homeomorphisms of Hilbert Cube Manifolds
- Shapes of finite-dimensional compacta
- Mapping cylinders of Hilbert cube factors
- Compact Hilbert cube manifolds and the invariance of Whitehead torsion
