**Title:** Algebraic Topology

**Instructor:** Professor Joel M. Cohen

**Office: MTH **2313

**Email:** jcohen@umd.edu

**Telephone: **(301)405-5109, **Cell phone: ask**

**Class Time:** T-TH 9:30 - 10:40 pm

**Location: Math **2400**.**

**Grader:**
Daniel Kaufman

**Email: **dtkauf@math.umd.edu

**Prerequisite:** Math 730. In particular, I assume
knowledge of Math 730 as taught by Sarah Yeakel in Fall
2018. See http://www2.math.umd.edu/~syeakel/math730f18.htm__l__
for contents. You may have to copy this URL and paste to get
it to work or try this:
Math
730

**Main Text:** *Algebraic
Topology,
*A. Hatcher, Download Version

**Auxiliary Text****:** *Topology
and
Geometry*, G. Bredon, Springer-Verlag, 1993

**Office Hours:** T-TH 11:00 am-12:00
pm. If you cannot see me during those hours, send me email
or ask me in class to make an appointment for a different time.

**Course Contents: ** Singular cohomology, cup products,
Poincaré duality, Eilenberg-Steenrod axioms, Whitehead and
Hurewicz theorems, universal coefficient theorem, and other topics
to be decided.

**Grading: **There will be regular homework, a take-home
midterm and a final (possibly
take-home). Approximately once each week there
will be a graded homework assignment. Students may consult
one another on homework assignments, but should not write anything
they do not understand.

The components of the final semester grade are

Homework | 30% |

Midterms | 30% |

Final Exam | 40% |

**Additional Reading:**

W. Massey, * Algebraic Topology, An Introduction,*
Springer-Verlag, 1997.

Greenberg and Harper, * Algebraic
Topology, A First Course, *Benjamin/Cummings,
1981.