Geodesic
On the structure of ultrafilters and properties related to convergence in topological spaces
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 250-267 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider properties of broadly understood measurable spaces that provide the preservation of maximality when ultrafilters are restricted to filters of the corresponding subspace. We study conditions that guarantee the convergence of images of ultrafilters consisting of open sets under continuous mappings.
Keywords: filter base, measurable space, topology, ultrafilter. 
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E. G. Pytkeev; A. G. Chentsov. On the structure of ultrafilters and properties related to convergence in topological spaces. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 250-267. http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a21/

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