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.
Saif, A. H., & Kılıc¸man, A. (2013). On weaker forms for concepts in theory of topological groupoids. Journal of the Egyptian Mathematical Society, 21(1), 57-62. doi: 10.1016/j.joems.2012.09.001
MLA
Amin H. Saif; Adem Kılıc¸man. "On weaker forms for concepts in theory of topological groupoids", Journal of the Egyptian Mathematical Society, 21, 1, 2013, 57-62. doi: 10.1016/j.joems.2012.09.001
HARVARD
Saif, A. H., Kılıc¸man, A. (2013). 'On weaker forms for concepts in theory of topological groupoids', Journal of the Egyptian Mathematical Society, 21(1), pp. 57-62. doi: 10.1016/j.joems.2012.09.001
VANCOUVER
Saif, A. H., Kılıc¸man, A. On weaker forms for concepts in theory of topological groupoids. Journal of the Egyptian Mathematical Society, 2013; 21(1): 57-62. doi: 10.1016/j.joems.2012.09.001