Results 11 to 20 of about 433,369 (119)
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 countably compact spaces. These conditions involve very elementary properties.
Nyikos, Peter, Zdomskyy, Lyubomyr
openaire +3 more sources
A dichotomy property for locally compact groups [PDF]
, 2018 We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of $l_1$. For that purpose, we transfer to general locally compact groups the notion of interpolation ($I_0$) set, which was defined by ...
Ferrer, Marita +2 more
core +3 more sources
Locally rich compact sets [PDF]
, 2015 We construct a compact metric space that has any other compact metric space as a tangent, with respect to the Gromov-Hausdorff distance, at all points. Furthermore, we give examples of compact sets in the Euclidean unit cube, that have almost any other ...
Chen, Changhao, Rossi, Eino
core +1 more source
Locally compact convergence groups and n-transitive actions [PDF]
, 2012 All sigma-compact, locally compact groups acting sharply n-transitively and continuously on compact spaces M have been classified, except for n=2,3 when M is infinite and disconnected. We show that no such actions exist for n=2 and that these actions for
Carette, Mathieu, Dreesen, Dennis
core +1 more source
Conjugacy class conditions in locally compact second countable groups [PDF]
, 2015 Many non-locally compact second countable groups admit a comeagre conjugacy class. For example, this is the case for the automorphism group of the rational order and the automorphism group of the random graph [Truss]. A. Kechris and C.
Wesolek, Phillip
core +1 more source
A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
, 2012 We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain +2 more
core +6 more sources
Decomposing locally compact groups into simple pieces [PDF]
, 2008 We present a contribution to the structure theory of locally compact groups. The emphasis is on compactly generated locally compact groups which admit no infinite discrete quotient.
Bourbaki +18 more
core +2 more sources
The Fell compactification and non-Hausdorff groupoids [PDF]
, 2009 A compactification of Fell is applied to locally compact non-Hausdorff groupoids and yields locally compact Hausdorff groupoids. In the etale case, this construction provides a geometric picture for the left-regular representations introduced by Khoshkam
Timmermann, Thomas
core +2 more sources
Kirchberg-Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case [PDF]
, 2018 We show that in order to prove that all locally compact groups with exact reduced group C∗-algebras are exact in the dynamical sense (i.e., KW-exact), it suffices to show this for totally disconnected locally compact ...
Cave, Chris, Zacharias, Joachim
core +2 more sources
On locally compact semitopological $0$-bisimple inverse $\omega$-semigroups
, 2018 We describe the structure of Hausdorff locally compact semitopological $0$-bisimple inverse $\omega$-semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological $0$-bisimple inverse $\omega ...
Gutik, Oleg
core +2 more sources