Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories
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Publication:880114
DOI10.1016/j.jfa.2006.12.018zbMath1119.22012arXivmath/0606078OpenAlexW2089249194MaRDI QIDQ880114
Publication date: 10 May 2007
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0606078
Related Items (19)
Direct limit groups do not have small subgroups ⋮ Completeness of locally \(k_{\omega}\)-groups and related infinite-dimensional Lie groups ⋮ Continuity of LF-algebra representations associated to representations of Lie groups ⋮ Detecting topological groups which are (locally) homeomorphic to LF-spaces ⋮ Final group topologies, Kac-Moody groups and Pontryagin duality ⋮ Integrability on direct limits of Banach manifolds ⋮ Smooth Homotopy of Infinite-Dimensional 𝐶^{∞}-Manifolds ⋮ Direct limits of regular Lie groups ⋮ Batalin-Vilkovisky formalism in the functional approach to classical field theory ⋮ On Darboux Theorem for symplectic forms on direct limits of symplectic Banach manifolds ⋮ Unnamed Item ⋮ Completeness of Infinite-dimensional Lie Groups in Their Left Uniformity ⋮ Solutions to open problems in Neeb's recent survey on infinite-dimensional Lie groups ⋮ Topological structure of direct limits in the category of uniform spaces ⋮ Projective and Direct limits of Banach $G$ and tensor structures ⋮ Analytic mappings between LB-spaces and applications in infinite-dimensional Lie theory ⋮ Towards a Lie theory of locally convex groups ⋮ Direct limit topologies of quasi-uniform spaces and paratopological groups ⋮ Continuity of bilinear maps on direct sums of topological vector spaces
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