Saif, A., Kılıc¸man, A. (2013). On weaker forms for concepts in theory of topological groupoids. test, 21(1), 57-62. doi: 10.1016/j.joems.2012.09.001
Amin H. Saif; Adem Kılıc¸man. "On weaker forms for concepts in theory of topological groupoids". test, 21, 1, 2013, 57-62. doi: 10.1016/j.joems.2012.09.001
Saif, A., Kılıc¸man, A. (2013). 'On weaker forms for concepts in theory of topological groupoids', test, 21(1), pp. 57-62. doi: 10.1016/j.joems.2012.09.001
Saif, A., Kılıc¸man, A. On weaker forms for concepts in theory of topological groupoids. test, 2013; 21(1): 57-62. doi: 10.1016/j.joems.2012.09.001

On weaker forms for concepts in theory of topological groupoids

Journal of the Egyptian Mathematical Society
Volume 21, Issue 1, April 2013, Pages 57-62    PDF (308.74 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2012.09.001
Authors
Amin H. Saif; Adem Kılıc¸man*
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
Topological groupoid; a-Open; a-Continuous; a-Irresolute
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