March 3, 2026

Properties of Function Spaces

Certain properties of topological T0-spaces remain intact when transitioning to function spaces, promoting structural consistency.
Continuity and homeomorphism characteristics are analyzed across these mathematical constructs for better understanding.
The exploration involves fundamental concepts of topology and their application to different mathematical contexts.
Understanding these properties allows for deeper insights into the relationships between various topological structures.

We show that certain properties of topological T₀ -spaces are preserved when passing to function spaces.

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M. I. Kudryashova

M. V. Schwidefsky

Siberian Mathematical Journal

Novosibirsk State University

Sobolev Institute of Mathematics

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Kudryashova et al. (Thu,) studied this question.

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