MA 4953/6953 - Schedule
 

 

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Schedule

Schedule of topics: MA 4953/6953, Spring 2015

Date Section       Description 
Jan 13      Introduction, motivations
Jan 15 Metric spaces, open sets, continuous functions

Jan 20 The intuition behind continuous maps, homeomoprhisms
Jan 22 12 Definition of topology, examples

Jan 27 13 Bases for topology, examples
Jan 29 20 Metric topology

Feb 3 20, 14 Standard bounded metric, linear orders
Feb 5 14 The order topology

Feb 10 15, 16 Product and subspace topologies
Feb 12 (homework solutions/review)

Feb 17 Exam 1
Feb 19 17 Closed sets, closures, local properties

Feb 24 17 Limit points, Hausdorff and T1 spaces
Feb 26 Snow day (class cancelled)

Mar 3 18 Continuous functions
Mar 5 Snow day (class cancelled)

Mar 10 Spring Break! (no class)
Mar 12 Spring Break! (no class)

Mar 17 19 The box topology versus the product topology
Mar 19 22 Quotients of topological spaces

Mar 24 22, 23 Quotient examples, connectedness
Mar 26 23, 24 Connected and path connected spaces: examples

Mar 31 25, 26 More connectedness, compact spaces
Apr 2

Apr 7 Exam 2
Apr 9

Apr 14
Apr 16

Apr 21
Apr 23

Apr 28

May 6 Final exam   (12:00 - 3:00pm)

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