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Oh sure. Topology has a wonderful cavalcade of such objects. Wikipedia mentions a book that collects many (https://en.wikipedia.org/wiki/Counterexamples_in_Topo
by Twisol 8y ago
Oh sure. Topology has a wonderful cavalcade of such objects. Wikipedia mentions a book that collects many (https://en.wikipedia.org/wiki/Counterexamples_in_Topology https://en.wikipedia.org/wiki/Counterexamples_in_Topology).
A particularly nice example is the Alexander horned sphere. https://en.wikipedia.org/wiki/Alexander_horned_sphere https://en.wikipedia.org/wiki/Alexander_horned_sphere
- JJMcJ 8y agoThere is also a book "Counterexamples in Analysis", and other counterexamples books.