There will be weekly homework due at the beginning of class each Thursday. There will be one midterm exam in class and a take-home final exam. It is also important to be comfortable with some abstract algebra (e.g., Math GU4041), like group theory and linear algebra. There is some background in Chapter 0 of Hatcher also see Topology by Munkres. It would be helpful to have background in point-set topology (e.g., Math GU4051) and basic topological operations. I will occasionally draw on other references and I will inform you in class if I do so. We will cover the four chapters of Hatcher (the main sections, not the additional topics). The main reference will be Algebraic Topology by Allen Hatcher. We'll also learn about the associated algebraic structures, which are quite richĪnd have deep connection to many other areas of math. In the process we'll get to draw some pretty pictures and learn how to think about high-dimensional spaces. In this course, we'll explore certain algebraic invariants of topological spaces, Office hours: Tuesday 4:30 pm-6:30 pm, Math 307A (next door to lecture room). Instructor: Oleg Lazarev and Place: Tuesday and Thursday: 2:40 pm - 3:55 pm in Math 307 Math GU4053: Algebraic Topology Math GU4053: Algebraic Topology
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