Math 222. Topology and Metric Spaces |
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Ana
sayfa / Home
Öğrenci Semineri / Students' Seminar
Takvim / Calendar 2003-2004 |
Point-set topology: open and
closed sets, neighbourhood, interior, boundary, closure, dense subsets,
subspaces, sequences, limits of sequences, continuity, homeomorphisms,
product topology. Metric spaces, normed vector spaces, completeness.
Compactness and connectedness. Uniform continuity of functions. Simple and
uniform convergence of sequences of functions. Tychonoff’s theorem,
compact and connected spaces. Contractions. Fixed-point theorems.
Convexity. Countability and separation axioms. Instructors:
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