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<p>The main aim of this paper is to investigate continuous maps from the standpoint of geometric topology and algebraic topology. The applications of the obtained results include the new axiomatic approaches of Čech spectral (co)homology theories of compact Hausdorff spaces without using the relative (co)homology groups.</p>

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AN INVERSE SYSTEM APPROACH OF MAP AND ITS APPLICATION IN (CO)HOMOLOGY THEORY

  • 期刊论文

  • 发表日期：

    2025年1月11日

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  • Vladimer Baladze,
  • Fridon Dumbadze

摘要

The main aim of this paper is to investigate continuous maps from the standpoint of geometric topology and algebraic topology. The applications of the obtained results include the new axiomatic approaches of Čech spectral (co)homology theories of compact Hausdorff spaces without using the relative (co)homology groups.