# Introduction to Topology (TOP1)

*Instructor:* Agnes Szilard, PhD

*Text:* Notes will be distributed in class.

*Reference book:*
Munkres: Topology, Prentice Hall, 2000

*Prerequisites*: Calculus, basics of set theory and group
theory.

*Course description*: This is a standard introductory course
the goal of which is to get acquainted with the basic notions of the field.
Thus we start with point-set topology and a thorough discussion of metric and
topological spaces, continuity, connectedness, compactness.
We then get a glimpse of algebraic topology - the notion of the
fundamental group of a topological space will be introduced and we will
use it to study covering spaces. Time permitting we will also look at the classification of compact
surfaces.

Throughout the course we will study numerous examples and applications.