extremally disconnected resolution - ορισμός. Τι είναι το extremally disconnected resolution
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Τι (ποιος) είναι extremally disconnected resolution - ορισμός

Stonean space; Stonian space; Extremally disconnected; Extremely disconnected; Extremally-disconnected space; Extremely disconnected space

Extremally disconnected space         
In mathematics, an extremally disconnected space is a topological space in which the closure of every open set is open. (The term "extremally disconnected" is correct, even though the word "extremally" does not appear in most dictionaries, and is sometimes mistaken by spellcheckers for the homophone extremely disconnected.
disconnected         
WIKIMEDIA DISAMBIGUATION PAGE
Disconnected (disambiguation); Disconnected (album); Disconnected (song); Disconnected (film)
Disconnected things are not linked in any way.
...sequences of utterly disconnected events...
= unconnected
ADJ: usu ADJ n
Disconnected         
WIKIMEDIA DISAMBIGUATION PAGE
Disconnected (disambiguation); Disconnected (album); Disconnected (song); Disconnected (film)
·Impf & ·p.p. of Disconnect.

Βικιπαίδεια

Extremally disconnected space

In mathematics, an extremally disconnected space is a topological space in which the closure of every open set is open. (The term "extremally disconnected" is correct, even though the word "extremally" does not appear in most dictionaries, and is sometimes mistaken by spellcheckers for the homophone extremely disconnected.)

An extremally disconnected space that is also compact and Hausdorff is sometimes called a Stonean space. This is not the same as a Stone space, which is a totally disconnected compact Hausdorff space. Every Stonean space is a Stone space, but not vice versa. In the duality between Stone spaces and Boolean algebras, the Stonean spaces correspond to the complete Boolean algebras.

An extremally disconnected first-countable collectionwise Hausdorff space must be discrete. In particular, for metric spaces, the property of being extremally disconnected (the closure of every open set is open) is equivalent to the property of being discrete (every set is open).