https://companal.subwiki.org/w/index.php?action=history&feed=atom&title=Analytic_mappingAnalytic mapping - Revision history2026-05-13T10:27:06ZRevision history for this page on the wikiMediaWiki 1.41.2https://companal.subwiki.org/w/index.php?title=Analytic_mapping&diff=11&oldid=prevVipul: 1 revision2008-05-18T19:09:29Z<p>1 revision</p>
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</td></tr></table>Vipulhttps://companal.subwiki.org/w/index.php?title=Analytic_mapping&diff=10&oldid=prevVipul: New page: ==Definition== Suppose <math>M,N</math> are Riemann surfaces. A map <math>f:M \to N</math> is termed an '''analytic map''' or '''analytic mapping''' if given any coordinate charts <ma...2008-05-01T01:14:20Z<p>New page: ==Definition== Suppose <math>M,N</math> are <a href="/wiki/Riemann_surface" title="Riemann surface">Riemann surfaces</a>. A map <math>f:M \to N</math> is termed an '''analytic map''' or '''analytic mapping''' if given any coordinate charts <ma...</p>
<p><b>New page</b></p><div>==Definition==<br />
<br />
Suppose <math>M,N</math> are [[Riemann surface]]s. A map <math>f:M \to N</math> is termed an '''analytic map''' or '''analytic mapping''' if given any coordinate charts <math>\varphi:U_1 \to V_1 \subset \mathbb{C}</math> and <math>\psi: U_2 \to V_2 \subset \mathbb{C}</math> on <math>M</math> and <math>N</math> respectively, the map:<br />
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<math>\psi \circ f \circ \varphi^{-1}: U_1 \cap f^{-1}(U_2) \to f(U_1 \cap f^{-1}(U_2)) \subset \mathbb{C}</math><br />
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is a [[holomorphic function]].</div>Vipul