On the invariance of Baire spaces under the various types of mappings

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:43
On the invariance of Baire spaces under the various types of mappings

On the invariance of Baire spaces under the various types of mappings

Authors : Mustafa ÇİÇEK

Pages : 0-0

Doi:10.1501/Commua1_0000000480

View : 8 | Download : 9

Publication Date : 1994-01-01

Article Type : Research Paper

Abstract :A mapping from a space X into a space Y is called S-opeıı if the image of each somewhere dense subset of X is a somewhere dense subset of Y, or eguivalently for every nowhere dense subset N of insert ignore into journalissuearticles values(Nj is nowhere dense subsetofA [6.p.45]. In this paper, we first consider a proposition which was proved in [6.p.45 ] on 8-open mappings. We improve this proposition and extend it to the varions types of mappings and some results which show that the preimage of a Baire space is Baire space under the various types of bijection mappings, are obtained.
Keywords : invariance, Baire spaces, arious types of mappings

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