Math 151a (Algebraic Topology)
Updated: 09/08/16, 1pm
What is new: Chap 0 lecture notes.
- Location: Goldsmith 305
- Office Hours: MW 11-12, M 1-2.
- Phone 3062.
Math 151a: Topology I (introduction to algebraic topology). The objective is to learn the fundamental concept of algebraic topology: We associate groups to topological spaces and use these groups to obtain information about the space. The basic topics are:
Text: Hatcher's book: Algebraic Topology.
Prerequisites: Basic definitions for topological spaces, compact Hausdorff spaces, metric spaces, product topology. I recommend: M.A.Armstrong's Basic Topology.
- Algebra: Fundamental group, homology, chain complexes. (To each space we get these things.)
- Topology: Simple examples of topological spaces, mostly ``Delta complexes'', surfaces. (We use very simple geometric objects, such as Klein bottles, as examples of the new ideas.)
Syllabus (LATTE will be used for answers to HW)
Lecture Notes (See LATTE. Final versions will be posted here)