MAT1301S
nnouncements
Information for winter 2022:
Grader: Matthew Koster, matthew.koster@mail.utoronto.ca
Grader: Ali Pirhosseinloo, ali.pirhosseinloo@mail.utoronto.ca
Mon 13:10--15:00 online
Weds 13:10--14:00 online
Office hours online M 11-12
eneral information
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Course outline
ectures
M1 -3 ; W 1-2
To Text by Allen Hatcher (by the author)
nstructor
otes
CW-complexes
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Categories and Functors
Homotopy
Homotopy Equivalences and the Homotopy Category
Covering Spaces
Universal Covering Spaces
Van Kampen's Theorem
Singular homology; Eilenberg-Steenrod axioms
Cohomology
Classification of Surfaces
Figures for Classification of Surfaces
Cup Products
Homology and Cohomology with Coefficients
Orientation for Manifolds
Homological algebra (short and long exact
sequences)
Mayer-Vietoris sequence
To
Lecture notes for MAT1301 (posted on Prof. Selick's home page)
-- starting at Chap. 8, p. 85