FOURTH HOMEWORK ASSIGNMENT
Sept. 19, 2000
Due Sept. 26, 2000
Please study the following exercises from the text "Introduction to Analysis, Second Edition" by William Wade, Prentice Hall 1999.
264[ 1, 6].
264[ 1c, 2, 5, 7a ].
Here are the equivalent exercises for those using the First Edition:
239[ 4c, 5 ],
be an open set of
. Show that there are countably many open balls B
, ... such that
A subset E of Euclidean Space is
if every sequence x
in E has a convergent subsequence x
whose limit belongs to E. Prove that every compact set is sequentially compact.