Counterexamples in TopologyCourier Corporation, 1 Oca 1995 - 244 sayfa 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. |
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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