We're still actively developing this site. If you encounter any issues, please report them! - Report an issue

ELEMENTARY TOPOLOGY

MATH 551
Course Description

Topological spaces, connectedness, compactness, separation axioms, metric spaces.

Prerequisties

(MATH 234 or MATH 375 ), (MATH 320 , MATH 340 , MATH 341 , or MATH 375 ), and (MATH 341 , MATH 375 , MATH 421 , MATH 467 , or MATH 521 ), or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

Satisfies
Credits

3

Offered

Fall, Spring

Grade Point Average
3.03

-0.64% from Historical

Completion Rate
91.53%

1.06% from Historical

A Rate
30.51%

-22.74% from Historical

Class Size
59

111.79% from Historical

Instructors (2025 Fall)

Sorted by ratings from Rate My Professors

Similar Courses

ELEMENTARY GEOMETRIC AND ALGEBRAIC TOPOLOGY

MATH 552

Introduction to algebraic topology. Emphasis on geometric aspects, including two-dimensional manifolds, the fundamental group, covering spaces, basic simplicial homology theory, the Euler-Poincare formula, and homotopy classes of mappings.

TOPICS IN GEOMETRIC TOPOLOGY

MATH 851

Advanced Topics in Geometric Topology.

INTRODUCTORY TOPOLOGY I

MATH 751

An introduction to algebraic and differential topology. Elements of homotopy theory, fundamental group, covering spaces. Differentiable manifolds, tangent vectors, regular values, transversality, examples of compact Lie groups. Homological algebra, chain complexes, cell complexes, singular and cellular homology, calculations for surfaces, spheres, projective spaces, etc. Familiarity with undergraduate algebra and topologyMATH 541or551) is strongly recommended.

SEMINAR IN TOPOLOGY

MATH 951

Selected topics in Topology.

ANALYSIS I

MATH 521

The real numbers, elements of set theory, metric spaces and basic topology, sequences and series, limits, continuity, differentiation, integration, sequences and series of functions, uniform convergence.