S. Onal

activity

20162022

collaborators

5 papers

math.GN2022

A weakly Lindelöf space which does not have the property $^{*} U_{f in} (O, O)$

Servet Soyarslan, Süleyman Önal

We show that there exists a Tychono? weakly Lindelöf space which does not have the property $^{*} U_{f in} (O, O)$ . This result answers the following open q…

math.GN2022

Noetherian $π$ -bases and Telgársky's Conjecture

Servet Soyarslan, Süleyman Önal

We investigate Noetherian families and show that every topological space has a Noetherian $π$ -base. We prove that if a topological space has some special Noetherian $π$ -bases, then…

math.GN2021

A solution of a problem about Erdös Space

Süleyman Önal, Servet Soyarslan

For Erdős space, $E$ , let us define a topology, $τ_{c l o p e n}$ , which is generated by clopen subsets of $E$ . A. V. Arhangel'skii and J. Van Mill asked whether t…

math.FA2016

Complemented basic sequences in Frechet spaces with finite dimensional decomposition

Hasan Gül, Süleyman Onal

Let $E$ be a Frechet-Montel space and $(E_{n})_{n \in N}$ be a finite dimensional unconditional decomposition of $E$ with $dim (E_{n}) \leq k$ for some fixed $k \in N$ …

math.CA2016

Product measures without utilizing integrals

Hasan Gul, Suleyman Onal

We show that product measures can be handled without resorting to integrals.

A weakly Lindelöf space which does not have the property ∗Ufin​(O,O)

Noetherian π-bases and Telgársky's Conjecture

A solution of a problem about Erdös Space

Complemented basic sequences in Frechet spaces with finite dimensional decomposition

Product measures without utilizing integrals

A weakly Lindelöf space which does not have the property $^{*} U_{f in} (O, O)$

Noetherian $π$ -bases and Telgársky's Conjecture