On isomorphisms of algebras of smooth functions

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dc.creatorMrcun, Janez
dc.date2003-09-10
dc.date2005-07-23
dc.date.accessioned2026-07-07T05:01:01Z
dc.date.available2026-07-07T05:01:01Z
dc.descriptionWe show that for any smooth Hausdorff manifolds M and N, which are not necessarily second countable, paracompact or connected, any isomorphism from the algebra of smooth (real or complex) functions on N to the algebra of smooth functions on M is given by composition with a unique diffeomorphism from M to N. An analogous result holds true for isomorphisms of algebras of smooth functions with compact support.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0309179
dc.identifierhttp://arxiv.org/abs/math/0309179
dc.identifierProc. Amer. Math. Soc. 133 (2005) 3109-3113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68529
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.subject58A05; 46E25
dc.titleOn isomorphisms of algebras of smooth functions
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