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## Symbols for homeomorphic, isomorphic, homotopic

My professor seems to randomly use the symbols $\approx$, $\cong$ and $\simeq$ to denote either homeomorphic, isomorphic or homotopic. So, what is the official symbol for each?
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 Blog Entries: 9 Recognitions: Homework Help Science Advisor I don't think there's a universal convention for the first and the third, but in group theory "isomorphic to" is denoted by $\simeq$.
 Recognitions: Homework Help Science Advisor Isomorphic is more frequently $\cong$, 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 $\sim$ a lot as well.

## 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.
 Recognitions: Gold Member Homework Help Science Advisor No doubt, but the question is: which symbol did they use for each concept?

 Quote by quasar987 No doubt, but the question is: which symbol did they use for each concept?
That's what my post was meant to convey: there is no standard convention and so each author sets up his text to so that the symbol he likes most is used most frequently.

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