Advanced Topology and Set Theory

A new concept of quasi slowly oscillating continuity is introduced. Furthermore, it is shown that this kind of continuity implies ordinary continuity, but the converse is not always true.

• İBRAHİM ÇANAK

Many researchers defined some basic notions on soft topology and studied many properties. In this paper, we define soft regular generalized closed and open sets in soft topological spaces and studied their some properties. We introduce these concepts which are defined over an initial universe with a fixed set of param…

• NAİME DEMİRTAŞ

No abstract yet.

• LALE ÖZKAHYA

Let X be a first countable Hausdorff topological group. The limit of a sequence in X defines a function denoted by lim from the set of all convergent sequences to X. This notion has been modified by Connor and Grosse-Erdmann for real functions by replacing lim with an arbitrary linear functional G defined on a linear…

• OSMAN MUCUK

(integrands of multiple integrals) that are independent, in the large, modulo the derived forms. The geometrical method of approach has been extended to compact metric spaces by Vietoris' and to still more general spaces by tech.2 Moreover, this branch of the theory has been very greatly perfected by the introduction…

In this paper, we show that nonempty closed convex subsets of a metric tree enjoy many properties shared by convex subsets of Hilbert spaces and admissible subsets of hyperconvex spaces. Furthermore, we prove that a set-valued mapping T ∗ T^* of a metric tree M M with convex values has a selection T : M → M T: M\right…

Let X be a first countable Hausdorff topological group. The limit of a sequence in X defines a function denoted by lim from the set of all convergent sequences to X. This notion has been modified by Connor and Grosse-Erdmann for real functions by replacing lim with an arbitrary linear functional G defined on a linear…

• TUNÇAR ŞAHAN

It is a well known fact that for a Hausdorff topological group X, the limits of convergent sequences in X define a function denoted by lim from the set of all convergent sequences in X to X. This notion has been modified by Connor and Grosse-Erdmann for real functions by replacing lim with an arbitrary linear function…

• OSMAN MUCUK

Recently, the first author has introduced a concept of G-sequential connectedness in the sense that a non-empty subset A of a Hausdorff topological group X is G-sequentially connected if the only subsets of A which are both G-sequentially open and G-sequentially closed are A and the empty set ∅. In this paper we inves…

• OSMAN MUCUK

(1994). Variations on Wolstenholme's Theorem. The American Mathematical Monthly: Vol. 101, No. 10, pp. 1001-1004.

It is proved that the automorphism group of any non-abelian free group F is complete. The key technical step in the proof is that the set of all conjugations by powers of primitive elements is first-order parameter-free definable in the group Aut(F).

No abstract yet.

• MUSTAFA DEMİRCİ