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Fully Regular Sets of an Imaginary Space

Author:

Sharafiddinov, Rasulkhozha Sultonkhozhaevich

Category:

Research Papers

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

November 27, 2025

File:

/Research Papers-Mathematics and Applied Mathematics/Download/10381

Downloads:

Keywords:

imaginary space, algebraical logic, geometrical logic, mathematically united logic, regular sets, casual sets, imaginary number axis, full compactness of a set, logic of the commu- tativity law, full ﬁniteness of a set

Abstract:

There is no single set in an imaginary space, for which an exact mathematical deﬁnition would not exist under the mathematical symmetry laws. We discuss a theory in which appears an imaginary number axis strictly deﬁned at the level of imaginary space, allowing one to formulate and prove the theorem on the basis of its internal disclosure. This new theory of a set makes it possible to introduce the notion of the full compactness of sets of an imaginary space, conﬁrming their availability in the deﬁned symmetry of elements of a deﬁnitely symmetrical line.

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