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Concrete functors that respect initiality and finality

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Concrete functors that respect initiality and finality

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Mynard, F. (2023). Concrete functors that respect initiality and finality. Applied General Topology. 24(1):187-203. https://doi.org/10.4995/agt.2023.18771

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Título: Concrete functors that respect initiality and finality
Autor: Mynard, Frédéric
Fecha difusión:
Resumen:
[EN] We study concrete endofunctors of the category of convergence spaces and continuous maps that send initial maps to initial maps or final maps to final maps. The former phenomenon turns out to be fairly common while ...[+]
Palabras clave: Convergence space , Heredity , Concrete functors , Preserves initiality , Preserves finality
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2023.18771
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2023.18771
Tipo: Artículo

References

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J. Adámek, H. Herrlich and E Strecker, Abstract and Concrete Categories, John Wiley and Sons, Inc., 1990.

G. Bourdaud, Some Cartesian closed topological categories of convergence spaces, In: Categorical Topology, Lecture Notes in Math 540, Springer-Verlag (1975), pp. 93-108. https://doi.org/10.1007/BFb0080854

S. Dolecki, Convergence-theoretic approach to quotient quest, Topology and its Applications 73, no. 1 (1996), 1-21. https://doi.org/10.1016/0166-8641(96)00067-3

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S. Dolecki, F. Jordan and F. Mynard, Reflective classes of sequentially based convergence spaces, sequential continuity and sequence-rich filters, Topology Proceedings 31, no. 2 (2007), 457-479.

S. Dolecki and F. Mynard, Convergence Foundations of Topology, World Scientific, 2016. https://doi.org/10.1142/9012

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