Description: Introduction to basic concepts of point-set topology: topologies, continuity, compactness, connectedness, and separation axioms. Emphasis will be placed on proof writing.
Prerequisites: Prerequisite: MATH 260 with a grade of C or higher.
Credits: (4)
Learner Outcomes: Upon successful completion of this course, the student will be able to:
Use definition of topology to determine what collections are topologies.
Test functions to determine their continuity.
Construct correct proofs utilizing axioms and definitions of topology.
Formulate necessary and/or sufficient conditions guaranteeing the truthfulness of mathematical statements.