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MTH634 : Topology

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Course Info

Course Category

Mathematics

Course Level

Undergraduate

Credit Hours

3

Pre-requisites

N/A

Instructor

Dr. Hani Shakir
PhD Mathematics
ASSMS, Pakistan

Course Contents

Topological Spaces: Definition and Examples, Open Sets, Closed Sets,  Basis for a Topology, Subbasis, Comparable Topologies, Topologies on Real Line, Subspace Topology, Relative Open Sets, Interior Points, Interior of a Set, Limit Points, Closure of a Set, Exterior, Boundary of a Set, First and Second Countable Space, Separable Spaces,  Metric Topology, Continuous Functions, Open Maps, Closed Maps, Homeomorphic Spaces,Topological Properties, Separation Axioms, Hausdorff Spaces, Regular Spaces, Normal Spaces, Urysohn’s Lemma, Compact Spaces, Connected Spaces, Connected Components, Locally Connected spaces, Path Connected Spaces,