A note on the graph continuity

• Autorzy: Przemski M.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to presented and study the concept of local version of the relationship between the graphs and the closure of the graphs for pairs of functions. Some characterisations of certain generalized forms of continuity are also obtained.

Słowa kluczowe

EN

topological spaces; functions; mappings; graph continuity; cliquishness

PL

przestrzenie topologiczne; funkcje; odwzorowania

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 4
• Strony: 927--937
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Przemski M.

• Department of Econometrics and Informatics Warsaw Agricultural University ul. Nowoursynowska 159 bud. 34, 02-787 Warsaw, Poland

Bibliografia

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• [3] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41.
• [4] A. S. Mashhour, M. E. Abd El-Mons ef and S. N. El-Deeb, On pre-continuous and weak pre-continuous mappings, Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53.
• [5] A. Mikucka, Graph quasi-continuity, Demonstratio Math. 36 (2003), 183-194.
• [6] O. Njöstad, On some classes of nearly open sets, Pacific J. Math. 15 (1965), 961-970.
• [7] M. Przemski, On forms of continuity and cliquishness, Rend. Circ. Mat. Palermo 42 (1993), 417-452.
• [8] K. Sakálová, On graph continuity of functions, Demonstratio Math. 27 (1994), 123-128.
• [9] H. P. Thielman, Types of functions, Amer. Math. Monthly 60 (1953), 156-161.
• [10] A. Zaharescu, Functii grafic continue, Stud. Cerc. Mat. 53 (1983), 89-99.