525 Exercises

Abbreviations and special notation used in denoting certain exercises:

!		especially important to do
?		not clear if worth doing
NB		note well the result obtained, no comment on worth doing
+NB		note well the result obtained, well worth doing
–		linked: regard as parts of one exercise (NOTE: 5–7 means 5 and 7 are linked, and says nothing about 6.)

[Chapter.Section, page(s) #exercises.]

1.1, 7–9 #1.(c), !2, 4, 5, 6–7, 9, !10, 12, NB14.
1.2, 12–3 #NB1–2, !3, 5, NB7, 8(first part).
1.3, 15–6 #+NB1, 3, !4(omit "disjoint"), +NB7, 8, !9.
1.4, 18–9 #1, 2, !4, 5, 6, NB7.
1.5, 25 #!1, !2, 3, 5, 7.
1.6, 27–9 #!1, !2, ?3, NB4, 5, !7, NB9, 10, NB11, 13.
1.7, 35–9 #!1(first half), !2, NB4, 5, !13–14, 15, +NB22.
1.8, 45–7 #1, !2, 9.
2.1, 63–4 #1, 2, 3, 4, NB5, NB6, 7, 8.
2.2, 65 #1, 3, 4.
2.3, 68–9 #2, 3.(a,c), 6, 7, 9, 11, NB12, 13, NB14.
2.4, 71–2 #1, 3, 4, NB5, 7.
2.5, 77–8 #1, 2, NB3, NB4, 7.
2.6, 81–2 #NB2, 3, 4, 5, 6, NB8, 9, NB10, NB11.
2.7, 85 #1, 3, 4, 6, 7.
2.8, 88–9 #2, 4–5–6, 8, 9, 10, 11, 14.
2.9, 90–1 #1, 3, 4, 5, 6.
2.10, 95 #1, NB3, 4, X is Hausdorff if and only if the diagonal Δ is closed in X×X.
2.11, 98–9 #1, 2, 5.
2.12, 103–4 #1, 2, 3, 4, 6, 8, NB9, 10.(b), NB11.
2.13, 107–8 #1, 2, 3, 4, 5, 6, 8, NB9.

Plus all "implicit exercises" such as those parts of proofs "left to the reader".