Title of the course: Introduction to general topology
Instructor: Dr. Matteo Paganin
Institution: Sabancı Ü.
Dates: 20-26 August 2018
Prerequisites: Just the basics.
Level: Graduate, advanced undergraduate
Abstract: In this course we plan to give definitions, examples, and basic properties of topological spaces; closed and open subsets; neighbourhoods; metric spaces; basis for topologies; continuous, open, and closed functions, homeomorphism; closure, interior, accumulation points; limits; separation axioms; compactness and connectedness. The aim of the course will be to state and sketch the proof of the Weierstrass and Heine-Borel theorems.
Language: EN, TR