Strict density topology of the plane. Category case
Filipczak, Małgorzata ; Wilczyński, Władysław
Tatra Mountains Mathematical Publications, Tome 45 (2010), / Harvested from Mathematical Institute
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We study the properties of category density topology of the plane generatedby a restricted convergence in the category of double sequences of characteristicfunctions{Â((n,m)·(A−(x0,y0)))\([−1,1]×[−1,1])}n,m2Nand more interesting topology generated by a strict convergence in the category of thesame sequences, which is a natural modification of a previous one. Similar problemsfor measure density were considered in [FW].

Publié le : 2010-01-01
DOI : https://doi.org/10.2478/tatra.v46i0.76 
@article{76,
     title = {Strict density topology of the plane. Category case},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {45},
     year = {2010},
     doi = {10.2478/tatra.v46i0.76},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/76}
}

Filipczak, Małgorzata; Wilczyński, Władysław. Strict density topology of the plane. Category case. Tatra Mountains Mathematical Publications, Tome 45 (2010) . doi : 10.2478/tatra.v46i0.76. http://gdmltest.u-ga.fr/item/76/