- Tytuł:
- Separation Axioms Weaker Than T1
- Autorzy:
-
Arwini, Khadiga Ali
Almrgni, Mabrouka Mohammed - Powiązania:
- https://bibliotekanauki.pl/articles/1030516.pdf
- Data publikacji:
- 2020
- Wydawca:
- Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
- Tematy:
-
Subspaces
lower separation axioms
product spaces - Opis:
- The purpose of this paper is to introduce a new type of separation axioms via dense sets, called DT_i-spaces (i = 0‚1/( 4) ‚1/( 3) ‚1/( 2)‚3/( 4)‚1), where a DT_i-space is a topological space which contains a dense T_i-subspace (i = 0‚1/( 4) ‚1/( 3) ‚ 1/( 2) ‚3/( 4)‚1). These new axioms are weaker than the axiom of T_□1. We provide the basic properties of DT_i- spaces (i = 0‚1/( 4)‚1/( 3) ‚1/( 2) ‚3/( 4)‚1), and we show that the axioms of DT_□((1 )/4), DT_□(1/3),〖 DT〗_□(1/2), DT_□(3/4), DT_□1 are open hereditary. Moreover, we study the connections between these axioms and the axioms of T_i where (i = 0‚1/( 4) ‚1/( 3) ‚1/( 2) ‚3/( 4)‚1).
- Źródło:
-
World Scientific News; 2020, 144; 158-168
2392-2192 - Pojawia się w:
- World Scientific News
- Dostawca treści:
- Biblioteka Nauki
Artykuł