Errata for TOPOLOGY,second edition. xii, 13 of connectedness and compactness in Chapter 3. 107; 2 f maps [0,1) into S super 1 111; 15 The wording is confusing. Try this: Let X and X' be spaces having the same underlying set; let their topologies be... 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. 198; 3* Replace psi by phi. 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! Supplementary notes are available through MIT's Open Course Ware program. Go to www.ocw.mit.edu, then to "Mathematics", then to "18.901", then to "Lecture Notes", then to whichever set of notes you are interested in (if any). The titles of the sections are as follows: Notes A Set Theory and Logic (notes by J. Santos) Notes B Proof of the well-ordering theorem Notes C The Long Line Notes D Countability axioms Notes E Normality of linear continua Notes F The separation axioms Notes G Normality of quotient spaces Notes H Tychonoff via well-ordering Notes I Locally euclidean spaces Notes J The Prufer manifold Notes K Compactly generated spaces