9 papers
A note on the rings of functions which are discontinuous on some finite sets
Samir Ch Mandal, Sagarmoy Bag, Dhananjoy Mandal
In this paper, we study some properties of the ring of all real valued functions which are continuous except on some finite subsets of . We show that is closed…
-normal spaces
Sagarmoy Bag, Ram Chandra Manna, Asit Baran Raha
A space is called -normal space if there exist a normal space and a bijection such that is homeomorphism for any cellular-com…
Almost separable spaces
Sagarmoy Bag, Ram Chandra Manna, Sourav Kanti Patra
We have defined almost separable space. We show that like separability, almost separability is productive and converse also true under some restrictions. We establish a Baire C…
Intermediate rings of complex-valued continuous functions
Amrita Acharyya, Sudip Kumar Acharyya, Sagarmoy Bag +1
Let denote the collection of all the rings between and . We show that there is a natural correlation between the absolutely c…
-normal and -Tychonoff spaces
Sagarmoy Bag, Ram Chandra Manna, Sourav Kanti Patra
A space is called -normal(-Tychonoff) space if there exists a normal(Tychonoff) space and a bijection such that is homeomo…
Recent progress in Rings and Subrings of Real Valued Measurable Functions
Soumyadip Acharyya, Sudip Kumar Acharyya, Sagarmoy Bag +1
Two separated realcompact measurable spaces and are shown to be isomorphic if and only if the rings and $\mathcal{M…