Anzeige
Erschienen in:
1996 | OriginalPaper | Buchkapitel
Category Phenomena
verfasst von : Chuanming Zong, James J. Dudziak
Erschienen in: Strange Phenomena in Convex and Discrete Geometry
Verlag: Springer New York
Enthalten in: Professional Book Archive
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
In a metric space {ℜ, ρ}, a subset is called meager or of the first category if it can be represented as a countable union of nowhere dense subsets. We say that a property holds for most1 elements of Ii if it holds for all elements of ℜ that lie off a meager subset. In 1899, R. Baire [1] found that every meager subset of a compact metric space or a locally compact metric space has a dense complement. So, in a topological sense, meager sets are “small,” whereas their complements are “large.”