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article · Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications

Topological Space in Finite Geometry with Variables in Integer Modulo $d$

2025Open accessGombe State University

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Abstract

In this paper, a special class of finite geometry is studied. Lines in the geometry are discussed. The existence of a partially ordered relation leads to the emergence of subgeometries via partial order, which by extension leads to the presence of topological spaces between geometry and its subgeometries, with subgeometries embedded in a topological space.

Research topics

  • Homotopy and Cohomology in Algebraic Topology
  • Mathematics and Applications
  • Advanced Banach Space Theory

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DOI: 10.58715/ncao.2025.4.4

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