Smooth embeddings of the Long Line and other non-paracompact manifolds into locally convex spaces

DOI10.1016/j.topol.2016.01.005zbMath1339.57041arXiv1503.05770OpenAlexW2963647246MaRDI QIDQ260529

Rafael Dahmen

Publication date: 21 March 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05770

zbMATH Keywords

locally convex spacelong linenon-paracompact manifoldsweakly complete space

Mathematics Subject Classification ID

Embeddings in differential topology (57R40) Infinite-dimensional manifolds (46T05) Topological linear spaces and related structures (46A99)

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Cites Work

• The Lie theory of connected pro-Lie groups. A structure theory for pro-Lie algebras, pro-Lie groups, and connected locally compact groups
• Towards a Lie theory of locally convex groups
• The cardinality of manifold atlases
• Various smoothings of the long line and their tangent bundles
• Reell-analytische Strukturen der Alexandroff-Halbgeraden und der Alexandroff-Geraden
• Weighted diffeomorphism groups of Banach spaces and weighted mapping groups
• Non-metrisable Manifolds
• Stein Manifolds and Holomorphic Mappings
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