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On locally Lipschitz locally compact transformation groups of manifolds

A. A. George Michael (2007)

Archivum Mathematicum

In this paper we show that a “locally Lipschitz” locally compact transformation group acting continuously and effectively on a connected paracompact locally Euclidean topological manifold is a Lie group. This is a contribution to the proof of the Hilbert-Smith conjecture. It generalizes the classical Bochner-Montgomery-Kuranishi Theorem[1, 9] and also the Repovš-Ščepin Theorem [17] which holds only for Riemannian manifolds.

On locally S -closed spaces

Takashi Noiri (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si studiano le condizioni sotto cui l’immagine (o l'immagine inversa) di uno spazio localmente S -chiuso sia localmente S -chiuso.

On locally solid topological lattice groups

Abdul Rahim Khan, Keith Rowlands (2007)

Czechoslovak Mathematical Journal

Let ( G , τ ) be a commutative Hausdorff locally solid lattice group. In this paper we prove the following: (1) If ( G , τ ) has the A (iii)-property, then its completion ( G ^ , τ ^ ) is an order-complete locally solid lattice group. (2) If G is order-complete and τ has the Fatou property, then the order intervals of G are τ -complete. (3) If ( G , τ ) has the Fatou property, then G is order-dense in G ^ and ( G ^ , τ ^ ) has the Fatou property. (4) The order-bound topology on any commutative lattice group is the finest locally solid topology on...

On m -adic spaces

Gerlits, J. (1972)

General Topology and its Relations to Modern Analysis and Algebra

On Manes' countably compact, countably tight, non-compact spaces

James Dabbs (2011)

Commentationes Mathematicae Universitatis Carolinae

We give a straightforward topological description of a class of spaces that are separable, countably compact, countably tight and Urysohn, but not compact or sequential. We then show that this is the same class of spaces constructed by Manes [Monads in topology, Topology Appl. 157 (2010), 961--989] using a category-theoretical framework.

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