TOPOLOGY
Paper Code:
MAT222
Credits:
5
Contact Hours:
75.00
Max. Marks:
100.00
15.00
Topological Spaces-Definition and examples, Closed sets, Neighbourhood, Open base and
sub base. Limit points, Adhere points and derived sets, Closure of a set.
15.00
Subspaces, Continuity and Homeomorphism,Nets,Filters.
15.00
Compact and Locally Compact spaces, Connected and Locally connected spaces, Continuity and Compactness, Continuity and Connectedness,
15.00
Separation axioms: To space, T1 space, T2 space or Hausdroff space, Regular and T3 spaces, Normal and T4 spaces.
15.00
Product spaces: Product space of two spaces, Product invariant properties for finite products, General product spaces.
Essential Readings:
- George F.Simmons,Introduction to Topology and Modern Analysis,Mcgraw Hill Book Company,2004.
- Colin Adams,Robert Franzosa,Introduction to Topology,parsons united edition press,2007.
References:
- Dugundji,J,Topology,Prentice Hall of India,New Delhi,1975
- Munkers R James, A first course in Topology,Pearson Education Pvt.Ltd.,Delhi 2015
- Terry Lawson, Topology: A Geometric Approach.Oxford University press,2003.
Academic Year:
