Introduction to Topology B (TOPB)
Instructor: Dr. Gábor LIPPNER Phone : 06-30-369-8776
Text: Topology Lecture Notes by Thomas Ward (either can be found and downloaded from
here or to be bought from the office)
Munkres: Topology, Prentice Hall, 2000
Prerequisites: Calculus, basics of set theory and group theory.
Course description: This course tries to give a quick insight to
various chapters of topology: the fundamental group, classification of
surfaces and knot theory. Rather than develop one part in great
detail, we will see a range of typical problems arising in topology,
and the different ways they can be answered. The theory will be
supported by many examples and excercises.
Course outline: the following topics will be covered (time permitting)
A necessary but brief introduction to the basic
notions of point-set topology (topological spaces, continuity,
- The fundamental group: homotopies, covering spaces,
applications to algebra and geometry.
- Classification of surfaces: examples of surfaces, orientation, Euler
- Introduction to knot theory: the fundamental group of a knot, knot