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 T_{1} 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) 