Math 4432 - Spring 2006
Homework 1
Work all these problems and talk to me if you have any questions on them, but carefully write
up and turn in only problems 3, 5, 6, 8, 9, 11, 13, and 14. Due: February 2
1) Find all the topologies on the set cfw_a, b, c.
Name:
Math 4150 Introduction to Number Theory
Spring 2010
Test # 1
You have 50 minutes to take this test. There are 52 total points possible.
Simple calculators are ne, but no programmable calculators are allowed.
Please write your answers neatly and show
Math 4432 - Spring 2006
Practice Final Exam
These are practice problems for the nal exam. Please make sure you can
work all of these problems. If you have any questions on the talk to me before
the exam.
A1) Let X be a topological space. Set = cfw_(x, x)
Math 4432 - Spring 2006
Homework 6
Work all the problems and carefully write them all up. Talk to me if you
have any questions on the problems. Due: April 25.
1) Given a continuous map f : S n X, show that f is homotopic to a
constant map if and only if f
Math 4432 - Spring 2006
Homework 5
Work all the problems and carefully write up all the problems except 8) and
10). Talk to me if you have any questions on the problems. Extra credit
carefully write up problem 10). Due: April 13.
1) Use the Seifert-Van Ka
Math 4432 - Spring 2006
Homework 4
Work and carefully write up all these problems and talk to me if you have any questions on
them. Due: March 28.
1) Let G and H be groups and f : G H a homomorphisms. Show that the image of f is a
subgroup of H.
2) Show Z
Math 4432 - Spring 2006
Homework 3
Work and carefully write up all these problems and talk to me if you have any questions on
them. Due: March 7.
Recall, n,m denotes the connected sum of n tori with m disjoint disks removed and Nn,m
denotes the connected
Math 4432 - Spring 2006
Homework 2
Work all these problems and talk to me if you have any questions on them, but carefully write
up and turn in only problems 1, 2, 3, 5, 8, 9, 10. Due: February 16
A collection of sets C = cfw_C I has the nite intersection
Name:
Math 4150 Introduction to Number Theory
Spring 2010
Test # 2
Solve the rst four problems in class and bring the solution to the remaining two to the class on Monday, April 5th.
Simple calculators are ne, but no programmable calculators are allowed.