neighborhood system

Let (X,τ) be a topological spaceMathworldPlanetmath and xX. The neighborhood system around x is the family of all the neighborhoodsMathworldPlanetmathPlanetmath of x.

Title neighborhood system
Canonical name NeighborhoodSystem
Date of creation 2013-03-22 12:22:18
Last modified on 2013-03-22 12:22:18
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 6
Author Mathprof (13753)
Entry type Definition
Classification msc 54-00
Synonym fundamental system of neighborhoods
Related topic Neighborhood
Related topic LocalBase