Research and Reports on Mathematics

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Renukadeviz V Author

Subjects of specialization
Topology, generalized topological space , Topological Spaces

Affiliation
Department of Mathematics, Central University of Tamil Nadu, Thiruvarur 610 005, Tamil Nadu, India

Biography

She is affiliated to Department of Mathematics, Central University of Tamil Nadu, Thiruvarur 610 005, Tamil Nadu, India. She is a recipient of many awards and grants for her valuable contributions and discoveries in major area of subject research. Her international experience includes various programs, contributions and participation in different countries for diverse fields of study.  Her research interests reflect in her wide range of publications in various national and international journals.
 


Publications

Research Article Open Access

On Statistically (I) - Sequential Spaces

Author(s):

Renukadeviz V and Prakash B

In this paper, we answer the question “Is the product of two statistically sequential spaces statistically sequential?” raised by Zhongbao and Fucai. By an example we see that products of two statistically sequential spaces need not be statistically sequential. Also, we give a necessary and sufficient condition for the product to be in most general case of I-sequential spaces. And we point out the error in proposition 2.2 of. Further, we prove that a subspace of a statistically sequential space need not be statistically sequential and we find a necessary and sufficient condition for a subspace to be in most general case of an I-sequential space. Finally, we develop the properties of the most general concept of I-sequential spaces.

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