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001-es BibID:	BIBFORM109795
035-os BibID:	(Scopus)85076747976
Első szerző:	Száz Árpád (alkalmazott matematikus)
Cím:	Birelator spaces are natural generalizations of not only bitopological spaces, but also ideal topological spaces / Száz Árpád
Dátum:	2019
Megjegyzések:	In 1962, W. J. Pervin proved that every topology T on a set X can be derived from the quasi-uniformity U on X generated by the preorder relations with A? T. Thus, a quasi-uniform space X(U) is a generalization of a topological space X(T), and a bi-quasi-uniform space X(U,V) is a generalization of a bitopological space X(P,Q), studied first by J. C. Kelly in 1963. Now, we shall show that a bi-quasi-uniform space X(U,V) is also a certain generalization of an ideal topological space X(T,I) studied first by K. Kuratowski in 1933. Actually, instead of a bi-quasi-uniform space X(U,V), we shall use a birelator space (X,Y)(R,S), where X and Y are sets and R and S are relators (families of relations) on X to Y. Much more general results could be achieved by using corelations (functions of P(X) to P(Y)) instead relations on X to Y. However, a detailed theory of corelators has not been worked out yet.
ISBN:	978-3-030-31339-5 978 3 030 31338 8
Tárgyszavak:	Természettudományok Matematika- és számítástudományok tanulmány, értekezés könyvrészlet
Megjelenés:	Mathematical Analysis and Applications / szerk. Themistocles M. Rassias, Panos M. Pardalos. - p. 543-586. -
Internet cím:	Intézményi repozitóriumban (DEA) tárolt változat
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