Results 11 to 20 of about 146 (38)
Proper actions and proper invariant metrics
, 2008 We show that if a (locally compact) group $G$ acts properly on a locally compact $\sigma$-compact space $X$ then there is a family of $G$-invariant proper continuous finite-valued pseudometrics which induces the topology of $X$.
Abels, Herbert +2 more
core +2 more sources
Topologies between compact and uniform convergence on function spaces
, 1991 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 101-109, 1993.
S. Kundu, R. A. McCoy
wiley +1 more source
The definable content of homological invariants II: Čech cohomology and homotopy classification
Forum of Mathematics, PiThis is the second installment in a series of papers applying descriptive set theoretic techniques to both analyze and enrich classical functors from homological algebra and algebraic topology.
Jeffrey Bergfalk +2 more
doaj +1 more source
A note on free paratopological groups [PDF]
, 2013 In this paper, we mainly discuss some generalized metric properties and the character of the free paratopological groups, and extend several results valid for free topological groups to free paratopological groups.Comment: 12 ...
Lin, Fucai
core
A Whiteheadian-type description of Euclidean spaces, spheres, tori and Tychonoff cubes [PDF]
, 2012 In the beginning of the 20th century, A. N. Whitehead and T. de Laguna proposed a new theory of space, known as {\em region-based theory of space}. They did not present their ideas in a detailed mathematical form. In 1997, P.
Dimov, Georgi D.
core +2 more sources
Isometry groups of proper metric spaces
, 2012 Given a locally compact Polish space X, a necessary and sufficient condition for a group G of homeomorphisms of X to be the full isometry group of (X,d) for some proper metric d on X is given.
Niemiec, Piotr
core +1 more source
A Note on Local Compactness [PDF]
, 2001 We propose a categorical definition of locally-compact Hausdorff object which gives the right notion both, for topological spaces and for locales. Stability properties follow from easy categorical arguments.
Clementino, Maria Manuel
core +1 more source
On the representability of actions for topological algebras [PDF]
, 2014 The actions of a group B on a group X correspond bijectively to the group homomorphisms B ⟶ Aut(X), proving that the functor “actions on X” is representable by the group of automorphisms of X.
Borceux, Francis +2 more
core
Locally compact, $\omega_1$-compact spaces
, 2017 An $\omega_1$-compact space is a space in which every closed discrete subspace is countable. We give various general conditions under which a locally compact, $\omega_1$-compact space is $\sigma$-countably compact, i.e., the union of countably many ...
Nyikos, Peter, Zdomskyy, Lyubomyr
core
BOUNDARY-CHAOTIC BEHAVIOUR OF CONTINUOUS FUNCTIONS UNDER THE ACTION OF OPERATORS
Proceedings of the Edinburgh Mathematical Society, 2003 L. Bernal-González +1 more
semanticscholar +1 more source