### HATCHER ALGEBRAIC TOPOLOGY HOMEWORK SOLUTIONS

Allen Hatcher’s Algebraic Topology , available for free download here. Additional notes completing the construction of the Barycentric subdivision proposition. Homework must be neat, well-organized, and legible. Our course will primarily use Chapters 0, 1, 2, and 3. In addition to formal prerequisites, we will use a number of notions and concepts without much explanation.

Ralph Cohen Course Assistant. As a necessary ingredient, we will develop techniques in homological algebra. Degrees of maps between spheres. That said, the work you hand in must be your own. Religious holidays are not an excuse for late homework!

Students who may need accommodations because of a documented disability should meet with me privately within the first week of classes. Towards the homology of CW complexes. Use punctuation and conjunctions to indicate your flow of thought rather than arrows or telepathy.

## Math 7510: Topology I

Any cheating during midterms or finals will result in you failing alfebraic exam. As a necessary ingredient, we will develop techniques in homological algebra.

That said, the work you hand in must be your own.

More on the degree of a map. Please submit your completed exam as a pdf file via email to both Prof.

In addition, students with disabilities should also contact the Office of Disability Services. The homology of real projective space.

It is due on Thursday, Dec.

Write in paragraphs, sentences, and English words. Cheating on exams is unacceptable. Homework must be neat, well-organized, and legible. Ralph Cohen Course Assistant. Graphs and sub-groups of free groups.

Ragged margins, multi-column and otherwise over-dense formats, and unstapled sheets are unacceptable. Your grade will be determined by your performance on homework assignments and your overall classroom engagement:.

Religious holidays are not an excuse for late homework! I will drop your lowest homework score to allow for missed assignments or for assignments that pose special difficulty. The topooogy engaged you are with the material the better.

By appointment Homework and Grades: Immediate applications, including the homology of complex projective spaces.

# Math Topology I | David Shea Vela-Vick

It is due on Thursday, November 1, at 5: The fundamental group and the first homology group. Here is the Final Exam. If your handwriting is difficult alggebraic read, type your homework. Here is the midterm exam. The Mayer Vietoris sequence. Homology of good pairs. Through this quarter we will construct, prove properties about, and study applications of three such invariants:. If you know that there is an impending religious apgebraic, it is your responsibility to make arrangements to submit homework early.

Cup product in the relative setting. The correspondence theorem, Deck transformations, examples. You are encouraged to discuss problems with each other, but you must work on your own when you write down solutions.