Symbols for homeomorphic, isomorphic, homotopicby quasar987 Tags: homeomorphic, homotopic, isomorphic, symbols 

#1
Feb707, 12:25 AM

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My professor seems to randomly use the symbols [itex]\approx[/itex], [itex]\cong[/itex] and [itex]\simeq[/itex] to denote either homeomorphic, isomorphic or homotopic. So, what is the official symbol for each?




#2
Feb707, 12:54 AM

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I don't think there's a universal convention for the first and the third, but in group theory "isomorphic to" is denoted by [itex] \simeq [/itex].




#3
Feb707, 04:35 AM

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Isomorphic is more frequently [itex]\cong[/itex], though the latex tag for it is cong. The symbol Dexter gave is actually in my experience likely to beused for homotopic, though I also see [itex]\sim[/itex] a lot as well.




#4
Feb707, 02:22 PM

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Symbols for homeomorphic, isomorphic, homotopic
I have never used a text in which the author used a symbol for these concepts without first defining it.




#5
Feb707, 05:05 PM

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No doubt, but the question is: which symbol did they use for each concept?




#6
Feb707, 07:09 PM

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