Objectives: The goal of this paper is to introduce the ideas Contra soft generalized** (briefly g**). Continuous functions and almost g**) – in topological spaces. Additionally, we discussed some its characteristics. Methods: To obtain definition contra g**- continuous functions, used previously introduced definition(1) (i.e. inverse image every closed set FQ g**-closed FP). Also, regular open ...

Many scientists have studied and improved the soft set theory, which is initiated by Molodtsov [33] and easily applied to many problems having uncertainties from social life. The main purpose of our paper, is to introduce new soft separation axioms based on the b-open soft sets which are more general than of the open soft sets. We show that, the properties of soft b-Ti-spaces (i = 1,2) are soft...

BACKGROUND Attention-deficit/hyperactivity disorder (ADHD) is the most commonly diagnosed childhood psychiatric disorder. Disrupted sustained attention is one of the most significant behavioral impairments in this disorder. We mapped systems-level topological properties of the neural network responsible for sustained attention during a visual sustained task, on the premise that strong associati...

Molodtsov [14,15] introduced the soft set as a mathematical tool for dealing information as the uncertainty of data in engineering, physics, computer sciences and many other diverse field. Presently, the soft set theory is making progress rapidly [1,7].The topological structures of soft sets have been developed by many researchers [2-5,11,17,20]. On the other hand, Hájek [8] introduced a comple...

We consider the question of defining interleaving metrics on generalized persistence modules over arbitrary preordered sets. Our constructions are functorial, which implies a form of stability for these metrics. We describe a large class of examples, inverseimage persistence modules, which occur whenever a topological space is mapped to a metric space. Several standard theories of persistence a...