IMM Pakistan Student 2021 - 2022
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IMM Pakistan / 2023 - 2024
Advanced General Topology
TEACHING TEAM
Description
Course description
A topological space is a set endowed with a structure which allows for a notion of continuity to be defined. Topology studies such structures, spaces and the way they can be deformed into one another. Firstly, this course covers the fundamentals of topology: Open and closed subspaces, discrete topology, product topology, Euclidean topology, metric spaces, compactness, basis of a topological space, Hausdorff spaces, homeomorphism, continuous maps, pasting lemma, quotient spaces and maps, connected spaces. A detailed list of topics per lecture: here.
Moreover, after introducing the foundational ideas in topology the course covers Algebraic Topology. In algebraic topology, tools from abstract algebra such as groups are used to study topological spaces and find algebraic invariants.
Course materials
References
References
The main reference is Munkres' Topology
Munkres, J. R. (2000). Topology. Prentice Hall, Inc.. ISBN: 0131816292
Additional resources:
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Applicants Are Divided Into Two Groups: "International Applicants" Who Have Foreign Citizenship And "Pakistani Applicants" Who Either Hold Pakistani Citizenship, Have Dual Citizenship, Or Are Pakistanis Residing Outside The Country.
