Add to ORKGsummary:Given an axiomatic account of the category of locales the closed subgroup theorem is proved. The theorem is seen as a consequence of a categorical account of the Hofmann-Mislove theorem. The categorical account has an order dual providing a new result for locale theory: every compact subgroup is necessarily fitted
AbstractLet G be a locally compact group. We define the bipolar property of subgroups of G using the...
Let X be a topological space, Y a uniform space, ℭ(X;Y) the family of all continuous mappings of X i...
We survey different topologizations of the set S ( G ) of closed subgroups of a topological ...
summary:Given an axiomatic account of the category of locales the closed subgroup theorem is proved....
AbstractIn this paper we extend the result that a localic subgroup is necessarily closed, and the ‘f...
ABSTRACT. A well known result in locale theory shows that a locale is locally compact if and only if...
AbstractIf A and B are subsets of a topological group, one of which is open, then AB is open. A ‘poi...
Assembling a localic map f:L→M from localic maps fi:Si→M, i∈J, defined on closed resp. open sublocal...
Abstract. An axiomatic characterization of the category of locales is given. The main idea is to int...
A locally normal subgroup in a topological group is a subgroup whose normaliser is open. In this pap...
It is well known that locally compact groups are paracompact. We observe that this theorem can be ge...
This paper provides a useful characterization of LC(X, τα) , i.e. the family of locally closed subse...
AbstractA topology on the spectrum of a locally coherent Grothendieck category is introduced. The cl...
Aschbacher announced a program to revisit the classification of finite simple groups via fusion syst...
Abstract. We investigate categorical versions of algebraically closed ( = pure) embeddings, existent...
AbstractLet G be a locally compact group. We define the bipolar property of subgroups of G using the...
Let X be a topological space, Y a uniform space, ℭ(X;Y) the family of all continuous mappings of X i...
We survey different topologizations of the set S ( G ) of closed subgroups of a topological ...
summary:Given an axiomatic account of the category of locales the closed subgroup theorem is proved....
AbstractIn this paper we extend the result that a localic subgroup is necessarily closed, and the ‘f...
ABSTRACT. A well known result in locale theory shows that a locale is locally compact if and only if...
AbstractIf A and B are subsets of a topological group, one of which is open, then AB is open. A ‘poi...
Assembling a localic map f:L→M from localic maps fi:Si→M, i∈J, defined on closed resp. open sublocal...
Abstract. An axiomatic characterization of the category of locales is given. The main idea is to int...
A locally normal subgroup in a topological group is a subgroup whose normaliser is open. In this pap...
It is well known that locally compact groups are paracompact. We observe that this theorem can be ge...
This paper provides a useful characterization of LC(X, τα) , i.e. the family of locally closed subse...
AbstractA topology on the spectrum of a locally coherent Grothendieck category is introduced. The cl...
Aschbacher announced a program to revisit the classification of finite simple groups via fusion syst...
Abstract. We investigate categorical versions of algebraically closed ( = pure) embeddings, existent...
AbstractLet G be a locally compact group. We define the bipolar property of subgroups of G using the...
Let X be a topological space, Y a uniform space, ℭ(X;Y) the family of all continuous mappings of X i...
We survey different topologizations of the set S ( G ) of closed subgroups of a topological ...