MA549 [3-1-0-8]: Topology, during July-Nov, 2023

Prerequisites: MA541 Real Analysis

Syllabus:
Topological spaces, Bases and sub-bases for a topology, Limit point, closure, interior, boundary of a set, dense and nowhere dense sets, Continuity, Homeomorphism, Subspace, Product and Quotient topologies. Countability axioms, Separation axioms. Connectedness; Components, path connectedness, locally connected spaces, totally disconnected spaces. Compactness; Tychonoff's theorem, locally compact spaces, one-point compactification. Urysohn's lemma, Tietze's extension theorem, Urysohn's metrization theorem.

Texts/References:
J. R. Munkres: Topology, Pearson India, 2015.
C. W. Patty, Foundations of Topology, Second Edition, Jones & Barlett Student Edition, 2010.
G. F. Simmons: Introduction to Topology and Modern Analysis, McGraw-Hill India, 2017.
S. Willard: General Topology, Dover, 2004.
B. Mendelson: Introduction to Topology: Third Edition, Dover, 2003.
J. L. Kelley: General topology, Springer, 1982.

Classroom : 2102, Slot C1. Class timing: Monday (15:00 to 15:55), Tues (14:00 to 14:55), Thu (17:00 to 17:55), Fri (16:00 to 16:55).

Course Policy: Clickhere

Lecture Notes: Lecturenotes 1, Lecturenotes 2, Lecturenotes 3, Lecturenotes 4

Assignments: Assignment 1, Assignment 2 , Assignment 3, Assignment 4, Assignment 5

Exams: Quiz-I, MidSem, Quiz-II, EndSem