Math 4341: Topology

Fall 2024

SLC 2.302 / TTh 10:00 – 11:15am

 Instructor: Baris Coskunuzer / FA 2.410 / coskunuz@utdallas.edu Office Hours: Tu 11:30-1pm &  by appointment. TA & Office Hours: Astrit Tola & Wed 4-5pm at FO 1.210 Textbooks: Basic Topology by M.A. Armstrong Point Set Topology by A. Hatcher Prerequisites: Math 2451 & Math 3310 or instructor’s permission. Content Elements of Topology, Topological Spaces, Fundamental Group and Classification of Surfaces Homework: HWs are assigned weekly and due Thursday class. HW with the lowest score will be dropped. Exams: There will be two in-class exams on Sep 26 and Oct 31. Final Exam TBA. Grading: HW 25% + Midterm Exams 20% each + Final Exam 35% + (Bonus) Participation 5% Extra Material:

Weekly Schedule and HW Assignments:

 Week of Topics HW Problems Due Aug 19 Ch. 1: Introduction HW1: Ch-1. 3,10,11,13,14,23. Aug 29 Aug 26 Ch. 2: Continuity HW2: Ch-2. 3,10,12,17,22,27,33. Sep 5 Sep 2 Ch. 2: Continuity HW3: Ch-2. 28,30,31  Ch-3. 1,3,5a-c Sep 12 Sep 9 Ch. 3: Compact. & Connectedness HW4: Ch-3: 10,11,12,23,25,30,32 Sep 19 Sep 16 Ch. 3: Compact. & Connectedness HW5: Ch-3: 33,34,38,41,42,44. Sep 26 Sep 23 Ch. 4: Identification Spaces + M1 Sep 30 Ch. 4: Topological Groups HW6: Ch-4: 1,2,7,16,26,27,28. Oct 10 Oct 7 Ch. 5: Fundamental Group HW7: Ch-5: 2, 5, 9, 11, 12. Oct 17 Oct 14 Ch. 5: Fundamental Group HW8: Ch-5: 15,21,22,25,26,29. Oct 24 Oct 21 Ch. 5: Fundamental Group HW9: Ch-5: 33,37,45,46,49,50 Oct 31 Oct 28 Ch. 5: Fundamental Group + M2 Nov 4 Ch. 6: Triangulations HW10: Ch-6: 1, 3, 7, 20, 22 Nov 14 Nov 11 Ch. 7: Surfaces HW11: Ch-7: 3,11,13,22,23,24 Nov 21 Nov 18 Ch. 7: Surfaces HW12: Ch-7: 27,30,31,32,33 Dec 3 Dec 2 Ch. 8: Simplicial Homology

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