21-460: Topology

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Schedule and Homework

This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.

Week #1:  Jan 15 - Jan 19 Homework	Fundamental Concepts Functions
Week #2:  Jan 22 - Jan 26 Homework	Relations Cartesian Products Finite Sets
Week #3:  Jan 29 - Feb 2 Homework	Countable and Uncountable Sets Infinite Sets and the Axiom of Choice Well-Ordered Sets Topological Spaces
Week #4:  Feb 5 - Feb 9 Homework	Basis for a Topology The Order Topology The Product Topology on XxY
Week #5:  Feb 12 - Feb 16 Homework	The Subspace Topology Closed Sets and Limit Points
Week #6:  Feb 19 - Feb 23 Homework	Continuous Functions The Product Topology
Week #7:  Feb 26 - Mar 2 Homework	The Metric Topology The Metric Topology (Continued) Exam #1 will be given in class on Wednesday, February 28.
Week #8:  Mar 5 - Mar 9 Homework	The Metric Topology (continued) The Quotient Topology Administrative note: Classes are canceled on Friday, March 9 for the Mid-Semester Break.
Week #9:  Mar 12 - Mar 16 Homework	Connected Spaces Connected Subspaces of the Real Line Compact Spaces
Week #10:  Mar 19 - Mar 23 Homework	Compact Spaces Compact Subspaces of the Real Line Administrative note: The deadline for dropping a course is Monday, March 19.
Week #11:  Apr 2 - Apr 6 Homework	Linit Point Compactness Local Compactness
Week #12:  Apr 9 - Apr 13 Homework	Local Compactness The Countability Axioms
Week #13:  Apr 16 - Apr 20 Homework	The Separation Axioms Exam #2 will be given in class on Wednesday, April 18. Administrative note: Friday, April 20 is Spring Carnival. No Class.
Week #14:  Apr 23 - Apr 27 Homework	Normal Spaces The Urysohn Lemma The Urysohn Metrization Theorem
Week #15:  Apr 30 - May 4 Homework	Imbeddings of Manifolds TBA
Final Exam:  May 7	The final exam will be given on Monday, May 7 from 8:30am to 11:30am in DH 1209.