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Topology - Period 4+5
Social Sciences & Humanities Program
Amsterdam, Netherlands
Dates: 1/31/20 - 5/30/20
Topology - Period 4+5
OVERVIEW
CEA CAPA Partner Institution: Vrije Universiteit Amsterdam
Location: Amsterdam, Netherlands
Primary Subject Area: Mathematics
Instruction in: English
Course Code: X_400416
Transcript Source: Partner Institution
Course Details: Level 300
Recommended Semester Credits: 3
Contact Hours: 84
DESCRIPTION
This course is a first introduction to topology, that is, the mathematical study of the shape of space. The concepts that are introduced in this course are essential in understanding more advanced subjects, such as differential topology, functional analysis, and algebraic topology.
The following topics will be covered during the course:
-general topological spaces;
-topology generated by a basis;
-continuous maps and homeomorphisms;
-connectedness, path-connectedness, local connectedness;
-compactness, local compactness;
-products and quotients;
-topological manifolds;
-separation axioms;
-the fundamental group of a topological space.
Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.
The following topics will be covered during the course:
-general topological spaces;
-topology generated by a basis;
-continuous maps and homeomorphisms;
-connectedness, path-connectedness, local connectedness;
-compactness, local compactness;
-products and quotients;
-topological manifolds;
-separation axioms;
-the fundamental group of a topological space.
Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.