$L$-Topology via Generalised Geometric Logic

TL;DR

This paper develops a new form of geometric logic that is generalized and explores its connections with L-topological systems and spaces, expanding the theoretical framework of topology and logic.

Contribution

It introduces a generalized geometric logic and establishes its relationships with L-topological systems and spaces, broadening the understanding of topological logic.

Findings

Established connections between generalized geometric logic and L-topological systems.

Linked generalized geometric logic with L-topological spaces.

Expanded the theoretical framework of topology and logic.

Abstract

This paper introduces a notion of generalised geometric logic. Connections of generalised geometric logic with L-topological system and L-topological space are established.