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How can I visualise the meaning of isotopy that appears while defining Teichmuller space? Can you suggest a picture where two maps are not isotopic? I want more clarification about isotopyic maps. Isotopy is sometimes referred to as homotopy via homeomorphism. I need geometric visualisation.

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    To put emphasis on words here, you can use Markdown , in particular _underscores_ for italics. Please don't use LaTeX math mode to italicise words, especially when writing a document in LaTeX! – theHigherGeometer Feb 20 '24 at 02:54
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    For starters, do you know the definition of isotopy? Do you know any examples? – Moishe Kohan Feb 22 '24 at 21:19

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