Additions to the MAT 327 web site no longer count towards good deed points

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Week of...

Notes and Links

1

Sep 13

About This Class, Monday  Continuity and open sets, Thursday  topologies, continuity, bases.

2

Sep 20

Monday  More on bases, Thursdsay  Products, Subspaces, Closed sets, HW1, HW1 Solutions

3

Sep 27

Monday  the Cantor set, closures, Thursday, Class Photo, HW2, HW2 Solutions

4

Oct 4

Monday  the axiom of choice and infinite product spaces, Thursday  the box and the product topologies, metric spaces, HW3, HW3 Solutions

5

Oct 11

Monday is Thanksgiving. Thursday  metric spaces, sequencial closures, various products. Final exam's date announced on Friday.

6

Oct 18

Monday  connectedness in ${\mathbb {R} }$, HW4, HW4 Solutions, Thursday  connectedness, pathconnectedness and products

7

Oct 25

Monday  Compactness of $[0,1]$, Term Test on Thursday, TT Solutions

8

Nov 1

Monday  compact is closed and bounded, maximal values, HW5, HW5 Solutions, Wednesday was the last date to drop this course, Thursday  compactness of products and in metric spaces, the FIP

9

Nov 8

MondayTuesday is Fall Break, Thursday  Tychonoff and a taste of StoneCech, HW6, HW6 Solutions

10

Nov 15

Monday  generalized limits, Thursday  Normal spaces and Urysohn's lemma, HW7, HW7 Solutions

11

Nov 22

Monday  $T_{3.5}$ and $I^{A}$, Thursday  Tietze's theorem

12

Nov 29

Monday  compactness in metric spaces, HW8, HW8 Solutions, Thursday  completeness and compactness

13

Dec 6

Monday  Baire spaces and nowhere differentiable functions, Wednesday  Hilbert's 13th problem; also see December 2010 Schedule

R

Dec 13

See December 2010 Schedule

F

Dec 20

Final exam, Monday December 20, 2PM5PM, at BR200

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See Hilbert's 13th


An email from Munkres
(Sorry, I should have posted it long ago, but I forgot I had it Drorbn 13:03, 6 November 2010 (EDT)).
From [email suppressed] Tue Dec 14 18:46:06 2004
Date: Thu, 9 Dec 2004 22:10:01 0500
From: Barbara and Jim Munkres [email suppressed]
To: drorbn@math.toronto.edu
Subject: I hope this is useful
ERRATA FOR TOPOLOGY, SECOND EDITION
(second and subsequent printings)
xii, 13 of connectedness and compactness in Chapter 3.
107; 2 f maps [0,1) into S super 1
118; Exercise 9, line 2, J is not empty.
143; 1 composite g is ...
151; 2* (a sub 1, ..., a sub N, 0, 0, ...)
187; 4* Let A be a subset of X.
203; 12 b < a. Neither U nor V contains a sub 0.
203; 15 ... U and V not containing a sub 0, but
containing
205; 9* if and only if X is T sub 1 and for
every...
224; 13 open in X sub i for each i.
235; 13* Show that if X is Hausdorff
237; 8 Assume script A is a covering of X by
basis elements such that
251; 7 less than or equal to 1/n
261; 7 replace "paracompact" by "metrizable".
262; 8 (x, epsilon sub i)
263; 1* Throughout, we assume Section 28.
266; 8* rho super bar is a metric;
356; 7 Find a ball centered at the origin...
417; 11 element of P(W),
421; 8 length (at least 3), then
425; 10* (G sub 1) * (G sub 2)
445; 10 Exercise 2 should be starred.
466; 4 = (w sub 0)[y sub 1] a [y sub 2] b...
481; 1 with k(h(e sub 0)) = e sub 0.
488; 4 F = p inverse (b sub 0).
488; 11 of the subset
503; 14* either empty or a one or twopoint set!