10-327/Errata to Munkres' Book

DBN: Classes: 2010-11: 10-327/Navigation Additions to the MAT 327 web site no longer count towards good deed points # 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, path-connectedness 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 Monday-Tuesday is Fall Break, Thursday - Tychonoff and a taste of Stone-Cech, 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 no-where 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, 2PM-5PM, at BR200 Register of Good Deeds Add your name / see who's in! 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 two-point set!