History of Cantor set/Talk

	Revision 2 . . December 1, 2001 5:26 am by Zundark
	Revision 1 . . December 1, 2001 4:53 am by AxelBoldt [3-adic integers homoeomorphic to our Cantor set?]

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Difference (from prior major revision) (no other diffs)

Changed: 1c1,3

Before, I claimed that the Cantor set is homoeomorphic to the p-adic integers; now I'm not so sure and I played it safe and replaced "p-adic" by "2-adic". Does anybody know if the 3-adic's are homoeomorphic to our Cantor set? --AxelBoldt

Before, I claimed that the Cantor set is homoeomorphic to the p-adic integers; now I'm not so sure and I played it safe and replaced "p-adic" by "2-adic". Does anybody know if the 3-adic's are homoeomorphic to our Cantor set? --AxelBoldt Yes. Every nonempty totally-disconnected perfect compact metric space is homeomorphic to the Cantor set. --Zundark, 2001 Nov 30