Estb. 1882

University of the Punjab

MATH-305 Topology

Topology  Definition and examples
 Open and closed sets
 Subspaces
 Neighborhoods
 Limit points, closure of a set
 Interior, exterior and boundary of a set Bases and Sub-base  Base and sub bases
 Neighborhood bases
 First and second axioms of countablility
 Separable spaces, Lindelöf spaces
 Continuous functions and homeomorphism
 Weak topologies, finite product spaces Separation Axioms
 Separation axioms
 Regular spaces
 Completely regular spaces
 Normal spaces Compact Spaces
 Compact topological spaces
 Countably compact spaces
 Sequentially compact spaces
Connectedness
 Connected spaces, disconnected spaces
 Totally disconnected spaces
 Components of topological spaces
Credit hours/ Marks:- 3

Reference Books

Download Course-Outline