Notes - Metric Spaces MT23, Neighbourhoods

Created: July 30, 2023

What does it mean for $Z \subseteq X$ to be a neighbourhood of $z$?

There exists some open ball about $z$ such that the open ball is contained in $Z$.

[[Course - Metric Spaces MT23]]^U

(outgoing)
[[Notes - Metric Spaces MT23, Open and closed sets]]^U

(sim: 0.703)
[[Notes - Metric Spaces MT23, Limit points]]^U

(sim: 0.645)
[[Notes - Metric Spaces MT23, Boundedness]]^U

(sim: 0.608)
[[Notes - Metric Spaces MT23, Balls]]^U

(sim: 0.599)
[[Notes - Metric Spaces MT23, Interiors and closures]]^U

(sim: 0.595)