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Fibrations and bundles with Hilbert cube manifold fibers

About this Title

H. Toruńczyk and J. West

Publication: Memoirs of the American Mathematical Society
Publication Year: 1989; Volume 80, Number 406
ISBNs: 978-0-8218-2471-9 (print); 978-1-4704-0829-9 (online)
DOI: https://doi.org/10.1090/memo/0406
MathSciNet review: 983564
MSC: Primary 57N20; Secondary 54C55, 55R05, 55R10

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Table of Contents

Chapters

• 0. Introduction
• 1. Definitions
• 2. Characterization of $Q$-manifold bundles with compact fibers
• 3. $Q$-manifold bundles with non-compact fibers
• 4. A non-trivial Hurewicz fibration $Q \to Q \to Q$
• 5. A trivial fibration with convex fibers
• 6. Fibrations that satisfy Fibred General Position
• 7. Fibred products of Hurewicz fibrations $Q \to Q \to Q$
• 8. A General Position Fibration that is not a bundle
• 9. Fibred homeomorphism theory for General Position Fibrations
• Appendix A. ANR-fibrations: Basic lemmas
• Appendix B. Homeomorphism theory in $Q$-manifold bundles