In this paper we investigate generalized ordered (GO) spaces that have a flexible diagonal in the sense of Arhangel’skii [2]. Spaces with a flexible diagonal are generalizations of topological groups and include spaces that are continuously homogeneous, Choban spaces, and rotoid spaces. We prove some some paracompactness and metrization theorems for such spaces and construct examples of general...

This work uses instantaneous pitch and strength of excitation along with duration of syllable-like units as the parameters for emotion conversion. Instantaneous pitch and duration of the syllable-like units of the neutral speech are modified by the prosody modification of its linear prediction (LP) residual using the instants of significant excitation. The strength of excitation is modified by ...

In this paper, we introduce two different notions of generalized supra soft sets namely supra A--soft sets and supra soft locally closed sets in supra soft topological spaces, which are weak forms of supra open soft sets and discuss their relationships with each other and other supra open soft sets [{it International Journal of Mathematical Trends and Technology} (IJMTT), (2014) Vol. 9 (1):37--...

Roitman's combinatorial principle $\Delta$ is equivalent to monotone normality of the nabla product, $\nabla (\omega +1)^\omega$. If $\{ X_n : n\in \omega\}$ a family metrizable spaces and $\nabla_n X_n$ monotonically normal, then hereditarily paracompact. Hence, if holds box product $\square +1)^\omega$ Large fragments hold in $\mathsf{ZFC}$, yielding large subspaces (\omega+1)^\omega$ that ar...

In this paper, we introduce the concept of soft supra strongly semi∗ generalized closed sets (soft supra strongly semi∗ g-closed for short) in a supra soft topological space (X,μ,E) and study their properties in detail. The relationship between soft supra strongly semi∗ generalized closed sets and other existing soft sets have been investigated. It has been pointed out in this paper that many o...

A space $Y$ is called an {em extension} of a space $X$, if $Y$ contains $X$ as a dense subspace. Two extensions of $X$ are said to be {em equivalent}, if there is a homeomorphism between them which fixes $X$ point-wise. For two (equivalence classes of) extensions $Y$ and $Y'$ of $X$ let $Yleq Y'$, if there is a continuous function of $Y'$ into $Y$ which fixes $X$ point-wise. An extension $Y$ ...

The concept of index and co-index a paracompact Hausdorff space X equipped with free involutions relative to the antipodal action on spheres were introduced by Conner Floyd [2] . In this paper, we extend notion for G -spaces , where is finitistic = S 1 (with complex multiplication) 3 quaternionic multiplication). We prove that less than or equal mod 2 cohomology also compute ring orbit / whose ...

We root this tribute to Nicholas Yannelis in Chapter II of his 1983 Rochester Ph.D. dissertation, and paper with Prabhakar: work strengthens the lower semicontinuity assumption Michael’s continuous selection theorem open sections, leads correspondences defined on a paracompact space values Hausdorff linear topological space. move beyond literature provide necessary sufficient condition for uppe...