MATH 530

Topology

Winter Quarter 2009

 

Instructor:

Andrei Verona; Simpson Tower 314; phone: (323) 343-2160.

Classroom:

ST F213

Time:

TR 16:20 - 18:00

Course description:

Prerequisites: 435 with a minimum C grade. This course will cover topological spaces, bases, product topology, subspace topology, closed sets and limit points, continuous functions, metric topology, connected spaces, connected subspaces of the real line, components and local connectedness, compactness, limit point compactness, local compactness, countability axioms, separation axioms, normal and regular spaces, Baire spaces.

Text book:

TOPOLOGY, by James Munkres, 2nd edition, 2000, Prentice Hall Inc.

Syllabus: 

Chapter 2 (Sections 12, 13, 15 - 21), Chapter 3 (Sections 23 - 29), Chapter 4 (Sections 30 - 33), Chapter 5 (Section 37), Chapter 7 (Sections 43, 45, 46), Chapter 8 (Section 48).

Homework:

Will be assigned after each lecture and discussed at the beginning of the following lecture. The midterm and the final will be based on the homework, so it is essential that you do the homework.

Tests:

Midterm on February 12.
A comprehensive final on
Tuesday March 17 from 16:30 to 19:00.

Grading:

Score = 45%Midterm + 55%Final

Score

Grade

90 – 100 
75 – 89 
60 – 74
50 – 59

0 – 49

A, A-
B-, B, B+
C-, C, C+
D-, D, D+

F

Office Hours:

Tuesday: 15:15 – 16:15; 18:00 – 18:20
Thursday: 15:15 – 16:15; 18:00 – 18:20