On α-strongly θ-continuity, αθ-openness and (α, θ)-closed graphs in Topological Spaces

Poisson Dirichlet(α, θ)-Bridge Equations and Coagulation-Fragmentation Duality

Abstract: This paper derives distributional properties of a class of exchangeable bridges closely related to the Poisson-Dirichlet (α, θ) family of bridges. As demonstrated in previous works, stochastic equations based on Poisson-Dirichlet (α, θ) processes, play an important role in a variety of applications. Here we focus on their role in obtaining/identifying otherwise difficult distributiona...

Molecular Evolution of the Primate α-/θ-Defensin Multigene Family

The primate α-/θ-defensin multigene family encodes versatile endogenous cationic and amphipathic peptides that have broad-spectrum antibacterial, antifungal and antiviral activity. Although previous studies have reported that α-/θ-defensin (DEFA/DEFT) genes are under birth-and-death evolution with frequent duplication and rapid evolution, the phylogenetic relationships of the primate DEFA/DEFT ...

On 3-topological Version of Θ-regularity

We modify the concept of θ-regularity for spaces with 2 and 3 topologies. The new, more general property is fully preserved by sums and products. Using some bitopological reductions of this property, Michael’s theorem for several variants of bitopological paracompactness is proved.

A Note on Θ-generalized Closed Sets

The purpose of this note is to strengthen several results in the literature concerning the preservation of θ-generalized closed sets. Also conditions are established under which images and inverse images of arbitrary sets are θ-generalized closed. In this process several new weak forms of continuous functions and closed functions are developed. 2000 Mathematics Subject Classification. Primary 5...

On (θ, θ)-Derivations in Semiprime Rings