The Sheaf of the Groups Formed by Topological Generalized Group over Topological spaces

TL;DR

This paper constructs an algebraic sheaf using topological generalized groups, integrating homotopy and sheaf theory to explore new algebraic-topological structures.

Contribution

It introduces a novel method to build algebraic sheaves from topological generalized groups, expanding the interplay between algebra and topology.

Findings

Successful construction of algebraic sheaves from topological generalized groups

Integration of homotopy theory with sheaf theory in this context

Potential applications in algebraic topology and related fields

Abstract

In the present paper, we show how to construct an algebraic sheaf by means of the topological generalized group defined by Molaei in [16] by considering both homotopy and sheaf theory.