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# Teaching

**Topics in Analysis (Fall 2014)**

**Description:**

**Text:**

R. Engelking, General Topology. Second edition. Heldermann Verlag, Berlin, 1989.

Midterm: 40%, Final: 40%, Quizzes: 20%.

**General Topology (Fall 2014)**

**Description:**

The course treats the basic notions related to continuity. Basically, the goal is to provide a common mathematical language used by most mathematicians.

We aim to cover the first 5 chapters of Munkres' book, and if time allows (time is never going to allow though!) some elements from Algebraic Topology.

Analysis I + "Mathematical Maturity", to a certain degree.

**Text:**

J.R. Munkres, Topology. Second edition. Prentice Hall Inc., Englewood Cliffs, N.J., 2000.

Other useful source:

R. Engelking, General Topology. Second edition. Heldermann Verlag, Berlin, 1989.

Midterm: 40%, Final: 40%, Quizzes: 20%

**Advanced Topology I (Fall 2012)**

**Description:**

The course aims to cover the first 8 chapters of Gillman and Jerison's book. The book describes the theory of the Rings of Continuous Functions; an area of Mathematics where Algebra and Topology intersect.

The course is addressed to those who understand the meaning of each individual word in Gillman and Jerison's book title: "**Rings of Continuous Functions**"; none will be defined. The course will be topologically oriented, however, some knowledge of Algebra (specifically, Commutative Ring Theory) would be inevitable.

**Text:**

L. Gillman and M. Jerison, Rings of Continuous Functions. Springer-Verlag, New York-Heidelberg, 1976.

Grading is based on assignments.

**Assignment 1:**