# Extensions of Continuous Function in LG-Topology

## TL;DR

This paper introduces three new maps in LGT-space theory that extend continuous functions and explores related concepts like quotient, decomposition, and isomorphism, enhancing the understanding of LG-topology.

## Contribution

It proposes three new maps extending continuous functions in LGT-spaces and studies related natural notions such as quotient, decomposition, and isomorphism.

## Key findings

- OLG, CLG, and LG maps extend continuous functions in LGT-spaces
- Introduces and studies quotient, decomposition, weak LG-topology, and isomorphism concepts
- Shows these maps have properties similar to continuous functions

## Abstract

In this article we introduce three maps, OLG, CLG and LG in LGT-space literature and show that these maps are extension of the continuous function in LGT-spaces and have the almost properties of the continuous functions. Also, it has been introduced and studied the natural notions, quotient, decomposition, weak LG-topology and isomorphism, related to the continuous function.

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Source: https://tomesphere.com/paper/1905.01606