Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Tarek Turki"'
Publikováno v:
Applied General Topology, Vol 16, Iss 1, Pp 53-64 (2015)
Following Van Douwen, a topological space is said to be nodec if it satises one of the following equivalent conditions: (i) every nowhere dense subset of X, is closed; (ii) every nowhere dense subset of X, is closed discrete; (iii) every subset conta
Externí odkaz:
https://doaj.org/article/f7dabaaad5f048239276f6aec608d755
Publikováno v:
Applied General Topology, Vol 14, Iss 1, Pp 97-113 (2013)
Submaximal spaces and door spaces play an enigmatic role in topology. In this paper, reinforcing this role, we are concerned with reaching two main goals: The first one is to characterize topological spaces X such that F(X) is a submaximal space (re
Externí odkaz:
https://doaj.org/article/2bf04814c65948d98bc18cadcf1b2ae5
Publikováno v:
Quaestiones Mathematicae; Vol 40, No 1 (2017); 17-28
Alexandroff topologies play an enigmatic role in topology. An important family of Alexandroff topologies are the functional Alexandroff spaces introduced by Shirazi and Golestani, and called primal topologies by O. Echi. The primal topology P(ƒ) on
Publikováno v:
Quaestiones Mathematicae; Vol 42, No 1 (2019); 15-35
A topological space is called resolvable if it is a union of two disjoint dense subsets, and is n-resolvable if it is a union of n mutually disjoint dense subsets. Clearly a resolvable space has no isolated points. If ƒ is a selfmap on X, the sets A
Autor:
Othman Echi, Tarek Turki
Publikováno v:
Journal of Algebra and Its Applications. 18:1950030
Let [Formula: see text] be a mapping. Consider [Formula: see text] Then, according to Echi, [Formula: see text] is an Alexandroff topology. A topological space [Formula: see text] is called a primal space if its topology coincides with an [Formula: s