Category of Source Proper Group Space

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Taghreed Hur Majeed
Suaad Ali Mohammed


Category, Groupoid, Topological groupoid, Topological group , Group space, source proper groupoid, source proper group space , Submersive group space


Our main interest in this study is to look for group space and the topological groupoid. In this paper, we give some results of group space and the topological groupoid, which are properties source proper group space         .

                Finally , remarks , proportions , theorems and example are our own unless other wise referred.   

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AL-Taai, A.A. , "Symmetry between principle actiob's law of group and groupoid", AL-Mustansiriya Journal of science , Vol.9, No.3, (1998).
Bredon, G.E., "Introduction to compact transformation Groups" , academic press, New York and London, 1972.
Bourbaki, N. Elements of Mathematics, "General Topology" , chapter 1-4, Springerverlog , Berlin , Heidelberg , New York , London , Paris, Tokyo, 2nd Edition, 1989.
Dindonne J., "Treatise on analysis" , Volume III, 1972, translator Macdonald , Academic press, New York 1972.
Higgins, P.J., "An Introduction to Topological Groups", London, Mathematical Society Lecture Note series 15(1979).
Husmoller , D., "Fiber bundles", McGrow-hill Inc., United States, 1966.
IIIman, S., " Topological transformation Groups", Lectures Fall term, Dept. of Math., University of Helsinki,(2002).
Mackenzie, K., "Lie groupoid and Lie algebroids in differential Geometry", London, Mathematical Society Lecture Note series Cambridge University press, (1987).
Majeed*, Taghreed, "On some results of topological groupoid", journal of physics: Conference Series (IOP Sciensce), (2018).
Majeed**, Taghreed, "Certain Types of complex Lie Group Action", journal of Al-Qadisiyah for Computer Science and Mathematics, vol.10, No.3, (2018)
Moerdijik I. and Crainic M.,"A homology theory for etale groupoid", J. Reine Angew Math. 521(2000), pp.25-46.
Mucuk, O., "Locally topological groupoid" Tr. J. of Mathematics , 21(1997), pp.235-243.
Spaier, E.H., "Algebraic topology", McGrow-hill, New York, 1966.
Hameed, Sattar, "Certain Types of Groupoid space", The University of Mustansiriya, (2007).