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

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