Comments:

31 pages, 2009

Abstract:

From author's contents: "1. Homotopy theory of paths and loops 1 1.10. Change of base point and unbased homotopies 4 2. Covering spaces 5 3. The fundamental group of the circle, spheres, and lense spaces 8 4. The van Kampen theorem 10 4.1. Fundamental groups of knot and link complements 14 5. Categories 15 6. Categories of right G-sets 17 6.5. Transitive right actions 17 7. The classiffication theorem 18 7.14. Cayley tables, Cayley graphs, and Cayley complexes 23 7.21. Normal covering maps 27 7.24. Sections in covering maps 27 8. Universal covering spaces of topological groups 27 References 31". AMS MSC: 14F35 (Algebraic geometry :: homology theory :: Homotopy theory; fundamental groups) 14H30 (Algebraic geometry :: Curves :: Coverings, fundamental group) 20F34 (Group theory and generalizations :: Special aspects of infinite or finite groups :: Fundamental groups and their automorphisms)

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http://www.math.ku.dk/~moller/f03/algtop/notes/covering.pdf

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