The very-strong C\(^\infty\) topology on C\(^{\infty}(M,N)\) and \(K\)-equivariant maps

zbMath1054.57033MaRDI QIDQ1412391

Soeren Illman

Publication date: 10 November 2003

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

equivariant mapWhitney topologyfunction spacesmooth mapsmooth manifoldreal analytic mapMather topology

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Function spaces in general topology (54C35) Compact Lie groups of differentiable transformations (57S15) Symmetries, equivariance on manifolds (58K70) Differentiable mappings in differential topology (57R35) Algebraic and analytic properties of mappings on manifolds (58K20)

Related Items (7)

Strong topologies for spaces of smooth maps with infinite-dimensional target ⋮ Countable approximation of topological G-manifolds, II: linear Lie groups G ⋮ Diffeomorphism groups of non-compact manifolds endowed with the Whitney \(C^\infty\)-topology ⋮ Completeness of Infinite-dimensional Lie Groups in Their Left Uniformity ⋮ Local inverses of shift maps along orbits of flows ⋮ A subanalytic triangulation theorem for real analytic orbifolds ⋮ Erratum to ``Smooth shifts along trajectories of flows [Topology Appl. 130 (2) (2003) 183-204]

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