MATH:6400:0001 Introduction to Algebraic Topology

Fall 2018 Section 0001: 10:30 - 11:20 MWF 210 MLH

Instructor:  Dr. Isabel K. Darcy
Department of Mathematics and AMCS
University of Iowa
Office: 25J MLH
Phone: 335- 0770
Email: isabel-darcy AT uiowa.edu

Office hours:
MWF 9:45 - 10:10am, WF 1:30 - 2:15pm, W 3:30 - 3:45++ in MLH 25J (my office), and by appointment.
Note: ++ means I will be also available directly after the office hour, normally for as long as needed.

Syllabus

For an elementary introduction to needed algebra, please see
Addition (and free abelian groups), video, slides (pptx or pdf) and
Addition (and free vector spaces), video, slides (pptx or pdf).
Click here for more elemenary videos.

Homework

HW 0 (due Monday 8/27):

GHW1 (due Thursday 8/31): Give feedback on 2.1 problems from HW 0.

HW 1 (due 9/5):

HW assignments posted on ICON discussion page.

Tentative Schedule  
Note many of the files below were created by modifying the latex files at Atanas Atanasov github site

Monday
Wednesday
Friday
Week 1 8/20: SVK , Complexes 8/22: Intro to homology     (video H0) ,   (video H1) 8/24: Create your own homology     (video)
Week 2 8/27: cross cap/chain maps, 8/29: chain homotopy 8/31: prism
Week 3 9/3: Holiday 9/5: exact 9/7: relative homology
Week 4 9/10: exact, 9/12: excision, barycentric subdivision 9/14: Delta complexes
Week 5 9/17: degree 9/19: 9/21:
Week 6 9/24: MV 9/26: cohomology 9/28: cohomology vs homology
Week 7 10/1: 10/3: cup product 10/5:
Week 8 10/8: complexes, cup ex, quiz, quiz answers, 10/10: review 10/12: Midterm
Week 9 10/15: 10/17: 10/19:
Week 10 10/22: cellular homology 10/24: 10/26: Nonor/lens
Week 11 10/29: lens spaces 10/31: euler (pptx) 11/2: AHS1, AHS2, AHS3
Week 12 11/5: Sato Ch 4 11/7: tensor product 11/9:
Week 13 11/12: 11/14: 11/16:
*****Nov 23 - 27: Thanksgiving Break****
Week 14 11/26: local homology, cup product 11/28: 11/30: 3.2
Week 15 12/3: 3.3 12/5: 12/7:
Final