Postgraduate Studies
Courses
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AN1 - General Topology Ι |
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Basic notions in topological spaces. Bases and subbases. Neighborhoods, and neighborhood's bases. Topologies defined by families of functions. Nets and their convergence. Continuous Functions. Topological subspaces and the subspace topology. Topologies defined by families of functions. Product of topological spaces. Separable spaces. First countable and second countable spaces, Lindelof spaces. Separation Axioms in topological spaces Τ0, Τ1, Τ2 (Hausdorff), Τ3 (regular), Τ4 (normal) spaces. Compact topological spaces and Tychonoff's Theorem. Metrizability of topological spaces. |
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