Süleyman Önal

Department of Mathematics
Scopus Author ID
A solution to a problem about the Erdos space
Önal, Süleyman; Soyarslan, Servet (2022-1-01)
© Instytut Matematyczny PAN, 2022.For the Erdos space, (E; τ ), let us define a new topology, τclopen, generated by all clopen subsets of E. A. V. Arhangel'skii and J. van Mill asked whether the topology τclopen is compati...
On the strategies for NONEMPTY in topological games
Önal, Süleyman (Elsevier BV, 2020-06-01)
We prove that if NONEMPTY has a Markov strategy in the Choquet game on a space X, then the player has a 2-tactic in that game. We also prove that if NONEMPTY has a k-Markov strategy in the Choquet game on a space X which h...
On generalizations of topological games
Önal, Süleyman; VURAL, ÇETİN (Elsevier BV, 2019-05-01)
We establish three games as generalizations of the Banach-Mazur game, the Choquet game and the point-open game. We find a characterization of compact scattered spaces by using one of the generalized games and show a relati...
Some New Completeness Properties in Topological Spaces
Vural, Çetin; Önal, Süleyman (null; 2017-06-30)
One of the most widely known completeness property is the completeness of metric spaces and the other one being of a topological space in the sense of Cech. It is well known that a metrizable space X is completely metrizab...
There is no domain representable dense proper subsemigroup of a topological group
Önal, Süleyman (Elsevier BV, 2017-02-01)
We prove that the only domain representable dense subsemigroup of a topological group is itself. Consequently, we obtain that every domain representable subgroup of a topological group is closed.
Domain representability of retracts
Önal, Süleyman (2015-10-01)
We prove that every retract of a domain representable space is domain representable. Consequently, we obtained that if C-p (X) is a countable union of its closed subcompact subspaces then X is discrete. This solves Questio...
Every monotonically normal Cech-complete space is subcompact
Önal, Süleyman (2014-10-01)
We prove that every monotonically normal Cech-complete space is subcompact. We also show that the complement of a countable subspace of a compact space is subcompact.
On weaker forms of the chain (F) condition and metacompactness-like covering properties in the product spaces
Önal, Süleyman (2013-09-01)
We introduce the concept of a family of sets generating another family. Then we prove that if X is a topological space and X has W = {W(x): x a X} which is finitely generated by a countable family satisfying (F) which cons...
Memorandum on multiplicative bijections and order
Cabello Sanchez, Felix; Cabello Sanchez, Javier; ERCAN, ZAFER; Önal, Süleyman (Springer Science and Business Media LLC, 2009-08-01)
Let C(X, I) denote the semigroup of continuous functions from the topological space X to I = [0, 1], equipped with the pointwise multiplication. The paper studies semigroup homomorphisms C(Y, I) -> C(X, I), with emphasis o...
Some upper bounds for density of function spaces
Önal, Süleyman (Elsevier BV, 2009-05-01)
Let C-alpha(X, Y) be the set of all continuous functions from X to Y endowed with the set-open topology where alpha is a hereditarily closed, compact network on X which is closed Under finite unions. We proved that the den...
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