Geometric Topology and Shape Theory

1. Front Matter

   Pages I-IV

   PDF

2. An alternative proof of M. Brown's theorem on inverse sequences of near homeomorphisms

   • Fredric D. Ancel

   Pages 1-2

3. Strong homology theories

   • Friedrich W. Bauer

   Pages 3-29

4. Borsuk fixed point theorem for multi-valued maps

   • Z. Čerin, T. Watanabe

   Pages 30-37

5. Improving categorical coverings of spaces

   • Mónica Clapp, Dieter Puppe

   Pages 38-42

6. The intimate connections among decomposition theory, embedding theory, and manifold structure theory

   • Robert J. Daverman

   Pages 43-47

7. On resolutions of LCn-compacta

   • A. N. Dranishnikov

   Pages 48-59

8. Infinite-dimensional compacta with finite cohomological dimension modulo p

   • A. N. Dranishnikov

   Pages 60-64

9. Sheaves that are locally constant with applications to homology manifolds

   • Jerzy Dydak, John Walsh

   Pages 65-87

10. UVk-equivalent compacta

    • Steven C. Ferry

    Pages 88-114

11. Covering maps in topN

    • Harold M. Hastings, Mahendra Jani

    Pages 115-124

12. Embedding of continua

    • L. S. Husch

    Pages 125-130

13. Using solenoids in the study of the Stone-Čech compactification

    • James Keesling

    Pages 131-147

14. The alexander-pontryagin duality theorem for coherent homology and cohomology with coefficients in sheaves of modules

    • Yu. T. Lisica

    Pages 148-163

15. On exact homology

    • L. D. Mdzinarishvili

    Pages 164-182

16. Geometric category and Lusternik-Schnirelmann category

    • Luis Montejano

    Pages 183-192

17. On the homology of function spaces

    • Sławomir Nowak

    Pages 193-201

18. On shape theory with compact supports

    • J. Segal, S. Spież

    Pages 202-211

19. Complement theorems in shape theory, II

    • R. B. Sher

    Pages 212-220

20. The continuity axiom and the Čech homology

    • Tadashi Watanabe

    Pages 221-239

The aim of this international conference the third of its type was to survey recent developments in Geometric Topology and Shape Theory with an emphasis on their interaction. The volume contains original research papers and carefully selected survey of currently active areas. The main topics and themes represented by the papers of this volume include decomposition theory, cell-like mappings and CE-equivalent compacta, covering dimension versus cohomological dimension, ANR's and LCn-compacta, homology manifolds, embeddings of continua into manifolds, complement theorems in shape theory, approximate fibrations and shape fibrations, fibered shape, exact homologies and strong shape theory.

• Compactification
• Homeomorphism
• cohomology
• fibrations
• function space
• homology

Policies and ethics