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The concept of limit point is an essential part of study in several areas of mathematics, viz., topology, functional analysis and metric space. Convergence of a net plays an important role in characterizing the continuity, Hausdorff space, metrizable space, etc. In this chapter, we are interested to study the preservation of limit points and its associated points. We develop two general methods of preservation of limit points.

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Invariant Study of Nets and Generalized Limits on Ideal Topological Spaces

  • 章节

  • 发表日期：

    2025年

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  • Shyamapada Modak,
  • Kulchhum Khatun,
  • Santanu Acharjee

摘要

The concept of limit point is an essential part of study in several areas of mathematics, viz., topology, functional analysis and metric space. Convergence of a net plays an important role in characterizing the continuity, Hausdorff space, metrizable space, etc. In this chapter, we are interested to study the preservation of limit points and its associated points. We develop two general methods of preservation of limit points.