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Definition and meaning of continuo

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Analogical dictionary




continuare (v. intr.)


continuare (v. intr.)

durer (fr)[Classe]







continuo (adj.)








continuo (adj.)




Wikipedia

Continuo

                   
bussola Disambiguazione – Se stai cercando l'accompagnamento musicale, vedi Basso continuo.

In matematica, la parola continuo talvolta indica la retta reale. In un senso più generale, un continuo è un insieme totalmente ordinato che è "densamente ordinato", cioè tra due membri dell'insieme c'è sempre un terzo membro compreso fra i primi due, e non ha "buchi", cioè ogni insieme non vuoto limitato superiormente ha sempre un estremo superiore. Secondo questa definizione, la retta lunga è un continuo, così come vari altri insiemi al di fuori della retta reale.

La cardinalità del continuo è la cardinalità della retta reale. L'ipotesi del continuo è talvolta espressa dicendo che non esiste nessuna cardinalità fra la cardinalità del continuo e quella dei numeri naturali.

In topologia generale, un continuo è un generico spazio di Hausdorff compatto e connesso. Le proprietà interessanti studiate nella teoria dei continui emergono dal fatto che esistono continui indecomponibili (continui che non possono essere scritti come unione di due opportuni sottocontinui) non banali.

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All translations of continuo


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