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September 10, 2025FilomatOpen Access

Categorical and convergent properties of convex spaces

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The category of convex spaces is productive for finite quotient maps but not extensional, indicating distinct categorical properties.
By applying topological methods, the paper explores co-Scott closed sets to establish convergence structures in concave spaces.
The concept of (preconcave, concave) convergence structures is introduced, linking concave convergence spaces with categories of convergence.
The paper concludes that the category of convergence spaces is both extensional and productive for finite quotient maps, showcasing key theoretical insights.

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Implication

This paper investigates the categorical properties and convergence structures in convex and concave spaces, highlighting their essential characteristics.

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Han et al. (2025) studied this question.

synapsesocial.com/papers/68c1a11f54b1d3bfb60dbb40 https://doi.org/10.2298/fil2504163h

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Implication

This paper investigates the categorical properties and convergence structures in convex and concave spaces, highlighting their essential characteristics.

Categorical and convergent properties of convex spaces

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Implication

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Categorical and convergent properties of convex spaces

Key Points

Discussion

Implication

Cite This Study

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