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Lectures on homotopy theory

Author: Renzo A Piccinini
Publisher: Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1992.
Series: North-Holland mathematics studies, 171.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Renzo A Piccinini
ISBN: 0444892389 9780444892386
OCLC Number: 24871588
Notes: An expanded version of lectures given at the Scuola Matematica Interuniversitaria, in Perugia, during the summer of 1989.
Description: xii, 293 pages : illustrations ; 25 cm.
Contents: 1. Homotopy Groups. 1.1 Function Spaces. 1.2 H-Spaces and CoH-Spaces. 1.3 Homotopy Groups. 2. Fibrations and Cofibrations. 2.1 Pullbacks and Pushouts. 2.2 Fibrations. 2.3 Cofibrations. 2.4 Applications of the Mapping Cylinder. 3. Exact Homotopy Sequences. 3.1 Exact Sequence of a Map: Covariant Case. 3.2 Exact Sequence of a Map: Contravariant Case. 4. Simplicial Complexes. 4.1 Simplicial Complexes. 4.2 Simplicial Approximation Theorem. 4.3 Polyhedra. 4.4 Fibrations and Polyhedra. 5. Relative Homotopy Groups. 5.1 Homotopy Groups of Maps. 5.2 Quasifibrations. 5.3 Some Homotopy Groups of spheres. 6. Homotopy Theory of CW-complexes. 6.1 CW-complexes. 6.2 Homotopy theory of CW-complexes. 6.3 Eilenberg-Mac Lane spaces. 7. Fibrations revisited. 7.1 Sections of fibrations. 7.2 F -fibrations. 7.3 Universal F -fibrations. Appendix: Colimits. Compactly generated spaces. Index.
Series Title: North-Holland mathematics studies, 171.
Responsibility: Renzo A. Piccinini.
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