In topology and related areas of mathematics, the neighbourhood system, complete system of neighbourhoods,[1] or neighbourhood filter for a point in a topological space is the collection of all neighbourhoods of
^Mendelson, Bert (1990) [1975]. Introduction to Topology (Third ed.). Dover. p. 41. ISBN 0-486-66352-3.
and 20 Related for: Neighbourhood system information
and related areas of mathematics, the neighbourhoodsystem, complete system of neighbourhoods, or neighbourhood filter N ( x ) {\displaystyle {\mathcal...
A neighbourhood (Commonwealth English) or neighborhood (American English) is a geographically localized community within a larger city, town, suburb or...
influence. "Clearing the neighbourhood" is one of three necessary criteria for a celestial body to be considered a planet in the Solar System, according to the...
of the many neighbourhoods that make up Toronto, Ontario, Canada has earned the city its unofficial nickname of "the city of neighbourhoods." There are...
for opposition to development of an area. Neighbourhood character has become a key term in the planning system of Victoria, Australia. Since 2001, it has...
Singapore modelled after the Japanese kōban system, whereby police presence is enhanced in the neighbourhoods with the aid of a high number of smaller police...
neighbourhood (osiedle), a unit with no legal or administrative powers, used for statistics or as a designation within the city localization system (Miejski...
satisfactory urban existence". Clarence Perry's conceptualisation of the neighbourhood unit evolved out of an earlier idea of his, to provide a planning formula...
filter at a point (because each is, in particular, also a neighbourhood subbasis). A π–system is a non-empty family of sets that is closed under finite...
of Śródmieście, and administered by a neighbourhood council. It is located within the City Information System areas of New Town, Old Town, Muranów, Powiśle...
infrastructure and services, unplanned neighbourhoods are characterized by poor road networks, poor drainage systems, and insufficient water and electricity...
The European Neighbourhood Policy (ENP) is a foreign relations instrument of the European Union (EU) which seeks to tie those countries to the east and...
library system of Mississauga, Ontario. The system has 18 branches, consisting of the Mississauga Central Library and 17 smaller neighbourhood libraries...
A neighborhood watch or neighbourhood watch (see spelling differences), also called a crime watch or neighbourhood crime watch, is an organized group of...
Japan to study the koban and train with officers on how the system worked. The neighbourhood police post (NPP) was then piloted in 1983 when Khe Bong NPP...
administered by a neighbourhood council. It is located within the City Information System area of Śródmieście Południowe. The municipal neighbourhood of Koszyki...
See Local base. Neighbourhoodsystem for a point x A neighbourhoodsystem at a point x in a space is the collection of all neighbourhoods of x. Net A net...
administrated by a neighbourhood council. It lies within the City Information System area of Śródmieście Południowe. The municipal neighbourhood of Krucza was...
linking together the neighbourhoods of different points of X . {\displaystyle X.} A standard example of such a system of neighbourhoods is for the real line...
Soldina, Sutthoffi, Vanalinn, and Veekulgu. Elektrijaama is the biggest neighbourhood of Narva. Named after Estonian national hero and chess grandmaster Paul...