3 papers
math.LO2019
-Topology via Generalised Geometric Logic
P. Jana
This paper introduces a notion of generalised geometric logic. Connections of generalised geometric logic with L-topological system and L-topological space are established.
math.LO2018
Heyting Algebra and Gödel Algebra vs. various Topological Systems and Esakia Space: a Category Theoretic Study
Antonio Di Nola, Revaz Grigolia, Purbita Jana
In this paper intuitionistic topological system and its properties have been introduced. Categorical interrelationships among Heyting algebra, Gödel algebra, Esakia space and propo…
math.GM2018
Fuzzy -cut and related structures
Purbita Jana, Mihir K. Chakraborty
This paper deals with a new notion called fuzzy -cut and its properties. A notion called localic frame is also introduced. Algebraic structures arising out of the family of fuzz…