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Course Descriptions

16:640:540 - Introduction to Algebraic Topology I

Feng Luo

Text: There will be no textbook for the course. My lecture notes will be posted on sakai. Below are some nice references:

  1. Marvin J. Greenberg, J. R. Harper, Algebraic Topology: A First course. Publisher: Westview Press.
  2. A. Hatcher: algebraic topology, Cambridge University Press.
  3. James W. Vick, Homology Theory: An Introduction to Algebraic Topology (Graduate Texts in Mathematics), Springer.

Prerequisites: Point set topology and advance calculus

Description:

This course will be an introduction to algebraic topology and basic manifold theory. The plan is to cover the following topics: fundamental group, Van Kampen's Theorem, covering spaces, simplicial and singular homology, cohomology, Brouwer's fixed-point theorem, and the Jordan-Brouwer separation theorem. We will emphasize on how to compute algebraic invariants by going over many interesting examples.


Sections Taught This Semester:

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
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