TOPOLOGY
Paper Code:
MAT 222
Credits:
5
Contact Hours:
75.00
Max. Marks:
100.00
Unit I:
I
15.00
Metric Spaces-Definition and examples, Open spheres and Closed spheres, Open sets and Closed sets, Neighbourhood, Sequence in metric space. Continuous mapping and Completeness in metric space.
Unit II:
II
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, Subspaces, Continuity and Homeomorphism.
Unit III:
III
15.00
Compact and Locally Compact spaces, Connected and Locally connected spaces, Continuity and Compactness, Continuity and Connectedness,
Separation axioms: To space, T1 space, T2 space or Hausdroff space, Regular and T3 spaces, Normal and T4 spaces.
Unit V:
V
15.00
Product spaces: Product space of two spaces, Product invariant properties for finite products, General product spaces.
Essential Readings:
George F. Simmons,2004, Introduction to Topology and Modern Analysis,Mcgraw Hill Book Company.
References:
- Dugundji,J,Topology,Prentice Hall of India,New Delhi,1975
- Munkers R James, A first course in Topology,Pearson Education Pvt. Ltd.,Delhi
Academic Year:
