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September 12, 2025Deleted JournalOpen Access

Topological Types of Convergence for Nets of Multifunctions

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Topological types of convergence are represented by (2n + 2)-tuples, reflecting multifunction structures.
The composition of functions defines convergence operators, indicating the order reflects the topology used.
A monoid of special functions describes all possible structures within the convergence operator's domain.
Necessary and sufficient conditions for continuity of limit multifunctions are established without restricted types.

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This article reveals operators for convergence in multifunctions, suggesting insights into continuity and filters.

Marian Przemski (2025) studied this question.

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