On weaker forms for concepts in theory of topological groupoids

Document Type : Original Article

Authors

Department of Mathematics, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia

http://dx.doi.org/10.1016/j.joems.2012.09.001

Abstract

In this paper, we investigate the topologically weak concepts of topological groupoids by
giving the concepts of a-topological groupoid and a-topological subgroupoid. Furthermore, we
show the role of the density condition to allow a-topological subgroupoid inherited properties from
a-topological groupoid and the irresoluteness property for the structure maps in a-topological groupoid
is studied. We also give some results about the fibers of a-topological groupoids.

Keywords