The students who succeed in this course;
- will be able to state the definitions of a topological space, a basis, a closed set, a continuous function and a homeomorphism
- will be able to explain the product and metric topologies with their properties
- will be able to explain the compactness of a topological space
- will be able to explain the connectedness of a topological space and the differences between the connectedness and path connectedness
- will be able to explain the countability and separation axioms
- will be able to compare the topological spaces with the help of countability and separation axioms
- will be able to explain the quotient topology and its properties