Geodesic
Soft topological structures
Nečetkie sistemy i mâgkie vyčisleniâ, Tome 10 (2015) no. 2, pp. 115-153

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For each point in space, a finite number of neighborhoods are considered. For such construction an analogy of topological concepts are presented. These concepts allow to work without the assumption of infinite divisibility of space.
Keywords: soft topological notions. 
@article{FSSC_2015_10_2_a0,
     author = {D. A. Molodtsov},
     title = {Soft topological structures},
     journal = {Ne\v{c}etkie sistemy i m\^agkie vy\v{c}isleni\^a},
     pages = {115--153},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FSSC_2015_10_2_a0/}
}
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D. A. Molodtsov. Soft topological structures. Nečetkie sistemy i mâgkie vyčisleniâ, Tome 10 (2015) no. 2, pp. 115-153. http://geodesic.mathdoc.fr/item/FSSC_2015_10_2_a0/