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- In the field of topology, a Fréchet–Urysohn space is a topological space with the property that for every subset the closure of in is identical to the sequential closure of in Fréchet–Urysohn spaces are a special type of sequential space. Fréchet–Urysohn spaces are the most general class of spaces for which sequences suffice to determine all topological properties of subsets of the space. That is, Fréchet–Urysohn spaces are exactly those spaces for which knowledge of which sequences converge to which limits (and which sequences do not) suffices to completely determine the space's topology. Every Fréchet–Urysohn space is a sequential space but not conversely. The space is named after Maurice Fréchet and Pavel Urysohn. (en)
- Przestrzeń Frécheta (także przestrzeń Frécheta-Uryshona) – w topologii ogólnej, przestrzeń topologiczna o tej własności, że dla każdego podzbioru punkt należy do domknięcia zbioru wtedy i tylko wtedy, gdy jest granicą ciągu elementów zbioru tj. istnieje taki ciąg że . (pl)
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- 20344 (xsd:nonNegativeInteger)
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- Przestrzeń Frécheta (także przestrzeń Frécheta-Uryshona) – w topologii ogólnej, przestrzeń topologiczna o tej własności, że dla każdego podzbioru punkt należy do domknięcia zbioru wtedy i tylko wtedy, gdy jest granicą ciągu elementów zbioru tj. istnieje taki ciąg że . (pl)
- In the field of topology, a Fréchet–Urysohn space is a topological space with the property that for every subset the closure of in is identical to the sequential closure of in Fréchet–Urysohn spaces are a special type of sequential space. The space is named after Maurice Fréchet and Pavel Urysohn. (en)
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- Fréchet–Urysohn space (en)
- Przestrzeń Frécheta (topologia) (pl)
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