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271 results on '"Tyagi, B. K."'

27. Some characterizations of ideal variants of Hurewicz type covering properties

Author

Bhardwaj, Manoj and Tyagi, B. K.

Subjects
Mathematics - General Topology
Abstract

In this paper, we continue to investigate topological properties of $\mathcal{I}H$ and its two star versions namely $SS \mathcal{I} H$ and $S \mathcal{I} H$. We characterized $\mathcal{I}$-Hurewicz property by $\mathcal{I}$-Hurewicz Basis property and $\mathcal{I}$-Hurewicz measure zero property for metrizable spaces. We also characterized $\mathcal{I}$-Hurewicz property, star-$\mathcal{I}$-Hurewicz property and strongly star-$\mathcal{I}$-Hurewicz property using selection principles.

Published
2019

40. Medical Entomology - A Great Discipline Promising Innovations, Inventions and Entrepreneurship

Author

Tyagi B K

Subjects
Ecology, Insect Science, Agronomy and Crop Science, Ecology, Evolution, Behavior and Systematics
Abstract

Medical Entomology is a highly fascinating and enterprising discipline with infinite possibilities of generating novel knowledge, on one hand, and innovative entrepreneurship, on the other. Insects, being spectacular, abundant and diverse group, are also most prodigious arthropods. They are important in the functions and processes of most ecosystems. Insects, arachnids, and other terrestrial arthropods comprise at least 75% of all the species of animals in the world. A great deal of scientific information on life come mostly from insects. Their dominance is a fundamental scientific insight yet not widely acknowledged. On one hand, some of these insects, especially hematophagous, are serious pests and vectors of serious diseases to both humans and animals. Such diseases warrant discovery of new insecticides, drugs, vaccines and tools for their management. The 2021 Nobel Prize to Dr Wu Tutu has been awarded for her discovery of a novel antimalarial, Artemisinin. On the other hand, a large number of insects and other arthropods are highly beneficial to humans as they are (i) sources for new protein molecules to be used in medicine, industry or insecticide production; (ii) saliva of certain insects, such as mosquitoes, is now being explored for producing anaesthesia; (iii) the flour-mite gene has a solution to epilepsy and (iv) certain carrion insects deserve a special attention for correctly pinpointing the post-mortem time interval (PMTI) of a dead-body. Medical entomology has thus earned a commensurate sobriquet, “employment & trade discipline of future.”

Published
2023

45. Rδ-Supercontinuous Functions

Author

Kohli J. K., Tyagi B. K., Singh D., and Aggarwal Jeetendra

Subjects
z-supercontinuous function, F-supercontinuous function, cl-supercontinuous function, Rz-supercontinuous function, R-supercontinuous function, rδ-open (rδ-closed)set, δ-embedded, weakly Hausdorff space (≡δT1-space), δT0-space, Mathematics, QA1-939
Abstract

A new class of functions called ‘Rδ-supercontinuous functions’ is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity which already exist in the literature is elaborated. The class of Rδ-supercontinuous functions (Math. Bohem., to appear) properly contains the class of Rz-supercontinuous functions which in its turn properly contains the class of Rcl- supercontinuous functions (Demonstratio Math. 46(1) (2013), 229-244) and so includes all Rcl-supercontinuous (≡clopen continuous) functions (Applied Gen. Topol. 8(2) (2007), 293-300; Indian J. Pure Appl. Math. 14(6) (1983), 767-772) and is properly contained in the class of R-supercontinuous functions (Demonstratio Math. 43(3) (2010), 703-723).

Published
2014
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47. Covering properties by (a)-θ-open sets in (a)topological spaces.

Author

Luthra, Sheetal, Chauhan, Harsh V. S., Tyagi, B. K., and Tunc, Cemil

Abstract

We introduced the concept of (a)-θ-compactness and (a)-θ-Mengerness in (a)topological spaces. We discussed the relationship of the above notions with the other known covering properties. It is shown that the product of two (a)-θ-Menger (resp. (a)-θ-compact) spaces is (a)-θ-Menger (resp. (a)-θ-compact) if one of them is (a)s-compact. If Xi is (a)-θ-Menger for each finite i, then (a)topological space X satisfies the selection principle Sfin(Q-W(X), Q-W(X)). Further, it is shown that the (a)-θ-Menger covering property is preserved under (a)-θ-continuous and (a)-strongly-θ-continuous map. [ABSTRACT FROM AUTHOR]

Published
2022

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