Counterexamples in Topology
Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Over 25 Venn diagrams and charts summarize properties of the examples, while discussions of general methods of construction and change give readers insight into constructing counterexamples. Extensive collection of problems and exercises, correlated with examples. Bibliography. 1978 edition.
What people are saying - Write a review
Reviews aren't verified, but Google checks for and removes fake content when it's identified
Review: Counterexamples in TopologyUser Review - Nick Black - Goodreads
The Dover "Counterexamples in..." line is generally awesome; no exception here. Read full review
Other editions - View all
axioms base basis basis neighborhood bounded called clearly closed set closure collection complement completely completely normal components condition conjecture consisting construction contains converges countably compact deﬁne denote developable disc discrete disjoint disjoint open edition equivalent Euclidean topology exists extension fact fail Figure ﬁnite ﬁrst countable follows function given Hausdorff space hence homeomorphic implies inﬁnite integers intersection interval irrational least limit point Lindelof locally compact locally connected Math mathematical metacompact metric space neighborhood nonempty normal normal space open cover open set open set containing origin paracompact path connected perfectly plane problems properties proved quantum mechanics rational reﬁnement regular relation respectively scattered second countable separable sequence Show Similarly strongly subcover subspace suppose taking theorem theory tion topological space topology Example ultraﬁlters uncountable union unit Urysohn