# Math231A: Algebraic Topology Semester: Fall | Year offered: 2024 **\[Syllabus updated\]** Time: 12:00-1:15 pm, Monday-Wednesday Place: Science Center 304 Instructor: Fan Ye, Course Assistant: Greg Wong Office Hours: Fan Ye, SC 505H, MW 1:15-2:15pm Greg Wong M 8-9:30 pm Leverett Dining Hall, Th 3-4:30 pm math lounge Main References: Lectures on Algebraic Topology by Haynes Miller, Chapters 1-3. Algebraic topology by Allen Hatcher, Chapters 2-3. Other suggested references: W. Fulton: Algebraic Topology; E. Spanier: Algebraic Topology; Greenberg and Harper: Algebraic Topology: A First Course Prerequisites: An undergraduate-level understanding of topology. An undergraduate may look at Basic Topology by M. A. Armstrong. Tentative Course Outline: - Weeks 1-4: Singular Homology - Weeks 5-8: Computational methods - Weeks 9-14: Cohomology and duality --- Attachments- [ picture\_as\_pdf syllabus\_math231a\_new.pdf ](/sites/g/files/omnuum10216/files/syllabus_math231a_new.pdf) - [ picture\_as\_pdf notes\_by\_haynes\_miller.pdf ](/sites/g/files/omnuum10216/files/fanye/files/notes_by_haynes_miller.pdf) - [ picture\_as\_pdf algebraic\_topology\_by\_allen\_hatcher.pdf ](/sites/g/files/omnuum10216/files/fanye/files/algebraic_topology_by_allen_hatcher.pdf) - [ picture\_as\_pdf 231a.prologue\_greg\_wong.pdf ](/sites/g/files/omnuum10216/files/231a.prologue_greg_wong.pdf) - [ picture\_as\_pdf pset1.pdf ](/sites/g/files/omnuum10216/files/pset1.pdf) - [ picture\_as\_pdf pset2.pdf ](/sites/g/files/omnuum10216/files/pset2.pdf) - [ picture\_as\_pdf pset3\_updated.pdf ](/sites/g/files/omnuum10216/files/pset3_updated.pdf) - [ picture\_as\_pdf pset4.pdf ](/sites/g/files/omnuum10216/files/pset4.pdf) - [ picture\_as\_pdf pset5\_at.pdf ](/sites/g/files/omnuum10216/files/pset5_at.pdf) - [ picture\_as\_pdf 231a.category-theory-section-notes.pdf ](/sites/g/files/omnuum10216/files/231a.category-theory-section-notes.pdf) - [ picture\_as\_pdf 231a.ps1-solution-set-collage.pdf ](/sites/g/files/omnuum10216/files/231a.ps1-solution-set-collage.pdf) - [ picture\_as\_pdf pset6.pdf ](/sites/g/files/omnuum10216/files/pset6.pdf) - [ picture\_as\_pdf final\_updated2.pdf ](/sites/g/files/omnuum10216/files/final_updated2.pdf) ---