On an ideal of linear sets

• Autorzy: Grande Z. , Strońska E.
• Języki publikacji: EN

Abstrakty

EN

In this article we investigate the ideal of linear sets A such that for each nonempty set U contained in the closure cl(A) of A and belonging to the density topology the intersection U D A is a nowhere dense subset of U.

Słowa kluczowe

EN

density topology; linear sets

PL

zbiory linearne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 2
• Strony: 307--311
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Grande Z.

• Institute of Mathematics, Bydgoszcz Academy, Plac Weyssenhoffa 11, 85-072 Bydgoszcz, Poland

autor

Strońska E.

• Institute of Mathematics, Bydgoszcz Academy, Plac Weyssenhoffa 11, 85-072 Bydgoszcz, Poland

Bibliografia

• [1] A. M. Bruckner, Differentiation of Real Functions, Lectures Notes in Math. 659, Springer-Verlag, Berlin (1978).
• [2] M. Grande, On the sets of discontinuity points of function satisfying some approximate quasi-continuity conditions, Real Analysis Exange 27, No 2 (2001-2002), 773-781.
• [3] Z. Grande, On some special notions of approximate quasi-continuity, Real Analysis Exange 24 (1998-99), 178-183.
• [4] F. D. Tall, The density topology, Pacific J. Math. 62 (1976), 275-284.