The neighbourhood system at a point consists of all its neighbourhoods. A neighbourhood basis is a subfamily cofinal under reverse inclusion.
A neighbourhood basis at a point is a family of neighbourhoods such that every neighbourhood of the point contains one of them.
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The term "neighbourhood system" can have different meanings depending on the context. Here are a few interpretations: 1. **Urban Planning and Geography**: In urban planning, a neighbourhood system refers to the arrangement and organization of communities within a larger city or metropolitan area. It encompasses residential areas, commercial zones, parks, and public spaces, and focuses on the interactions and relationships between these components.