The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups

Details The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups

2008-07-19

arxiv.org/abs/0807.3102v2

Acta Math. Hungarica 124:3 (2009), 201-214

Mathematics

General Topology

Scientific paper

10.1007/s10474-009-8144-8

In this paper we search for conditions on a countably compact (pseudo-compact) topological semigroup under which: (i) each maximal subgroup $H(e)$ in $S$ is a (closed) topological subgroup in $S$; (ii) the Clifford part $H(S)$(i.e. the union of all maximal subgroups) of the semigroup $S$ is a closed subset in $S$; (iii) the inversion $\operatorname{inv}\colon H(S)\to H(S)$ is continuous; and (iv) the projection $\pi\colon H(S)\to E(S)$, $\pi\colon x\longmapsto xx^{-1}$, onto the subset of idempotents $E(S)$ of $S$, is continuous.

Affiliated with

Also associated with

No associations

Rating

The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390777