Mathematics 746-747: Topology I,II

Mathematics 746-747: Topology I,II

General Information:

Title:	Mathematics 746-747: Topology I,II
Credits:	3 credits each
Prerequesites:	Mathematics 451
Required for:
Suggested Text:	General Topology by S. Willard

Course Description:

Topological spaces, convergence and continuity, separation axioms, compactness, connectedness, metrizability, complete metric spaces, homotopy, uniform spaces, and selected advanced topics.

Outline:

Chapter I.	Preliminaries	Set theory, cardinal and ordinal numbers, structure of R.
Chapter II.	Topological Spaces	Basic definitions, neighborhoods, bases and subbases, subspaces, product spaces, weak and quotient spaces, separable spaces, countability properties.
Chapter III.	Continuity and Convergence	Continuity in a topological space, convergence and inadequacy of sequences, nets and filters, ultrafilters.
Chapter IV.	Separation Axioms	Separation by open sets, separation axioms and Hausdorff spaces, regular, completely regular and Tychonoff spaces, normal spaces.

Goals:

Current Syllabus (Fall 1999-2000)

Note:

Special Needs: "Any students with disabilities or other special needs, who need special accommodations in the course, are invited to share these concerns or requests with the instructoras soon as possible."
Academic Honesty: All work in this course must be completed in a manner consistent with NDSU University Senate Policy, Section 335: Code of Academic Responsibility and Conduct.

Last Modified: October 23, 1999
ndsu_math@ndsu.nodak.edu