Dodatkowe przykłady dopasowywane są do haseł w zautomatyzowany sposób - nie gwarantujemy ich poprawności.
However, if we consider a locally finite collection of closed sets, the union is closed.
Every locally finite collection of subsets of a topological space X is also point-finite.
A σ-locally finite base is a base which is a union of countably many locally finite collections of open sets.
In order that a Tychonoff space X is pseudocompact it is necessary and sufficient that every locally finite collection of non-empty open sets of X is finite.
A collection of subsets of a space X is countably locally finite (or σ-locally finite) if it is the union of a countable collection of locally finite collections of subsets of X.
To see this we note that if x is a point outside the union of this locally finite collection of closed sets, we merely choose a neighbourhood V of x that intersects this collection at only finitely many of these sets.
Słownik matematyczny