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MATH2501 program

Topology

An introduction to the fundamental concepts of topology, including metric spaces, topological spaces, continuity, compactness, connectedness, and fundamental groups. Applications to analysis and algebraic topology are discussed.

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6
ECTS
180
hours in a term
4
class hours a week
From the Spring 2026 syllabus

What you will learn

  • •Define and analyze topological spaces and continuous functions.
  • •Understand and apply the concepts of basis, subspaces, and product topology.
  • •Determine compactness and connectedness in topological spaces.
  • •Explore separation axioms (Hausdorff, normal, and regular spaces).
  • •Compute the fundamental group of simple topological spaces.

How it is graded

20%
Quizzes
Week 1-7, 9-15
10%
Homework
Week 1-7, 9-15
30%
Midterm Exam
Week 8
40%
Final Exam
Week 16

Workload

180 hours in a term, about 12 a week
In-Class Time 56 hIndependent Study 55 hAssignments 51 hExaminations 18 h

Week by week

Books

Topology
James R. Munkres, Second edition
required
Algebraic Topology
Allen Hatcher
required
A Concise Course in Algebraic Topology
J. P. May
recommended
Elements of Algebraic Topology
J. Munkres
recommended

Where it fits

NeedsMATH211

Requirements come from syllabi. Check with your advisor.

Rules

Attendance is compulsory. A student missing 25% (32 hours or more) of all instructed hours will be forced to withdraw from the course, per University Academic Regulations.

Who teaches it

Not in the timetable this term.

Files

syllabus
Topology
Topology · Spring 2026
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What Anonymous says

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Anonymous

Do you guys really learn how to turn a cup into a donut in Topology?

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