Oriented components and their separations
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https://riunet.upv.es/handle/10251/89582
Cita bibliográfica
Stadler, BMR.; Stadler, PF. (2017). Oriented components and their separations. Applied General Topology. 18(2):255-275. https://doi.org/10.4995/agt.2017.5868
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[EN] There is a tight connection between connectedness, connected components, and certain types of separation spaces. Recently, axiom systems for oriented connectedness were proposed leading to the notion of reaches. Here, we introduce production relations as a further generalization of connectivity spaces and reaches and derive associated systems of oriented components that generalize connected components in a natural manner. The main result is a characterization of generalized reaches in terms of equivalent separation spaces.
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Applied General Topology issn: 1576-9402
