Open set

Meaning

Noun

●

In Topology:

Informally, a set

such that

the

target

point of a

movement

by a small amount in any

direction

from any point in the set is still in the set;

exemplified

by a

full circle

without its boundary.

●

In Mathematical analysis & Topology:

A set which can be

described

as an (arbitrary)

union

open balls

. Equivalently, a set

for every point

, there is an

point,

that

by the set.

●

In Topology:

Most

, a

of the

of a given

space.

Sourced from

Wiktionary

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