← GATE Mathematics guide GATE Mathematics · Section 10
Topology
Point-set topology through to Urysohn and Tietze — directly covered.
Books that cover Section 10
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Full syllabus — Section 10
- Bases, subbases; subspace, order, product, quotient and metric topologies
- Connectedness and path-connectedness; compactness, sequential & limit-point compactness; Tychonoff theorem
- Countability and separation axioms; Urysohn’s lemma; Tietze extension theorem