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Neighbourhood system information


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

  1. ^ Mendelson, Bert (1990) [1975]. Introduction to Topology (Third ed.). Dover. p. 41. ISBN 0-486-66352-3.

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Neighbourhood system

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and related areas of mathematics, the neighbourhood system, complete system of neighbourhoods, or neighbourhood filter N ( x ) {\displaystyle {\mathcal...

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Neighbourhood

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A neighbourhood (Commonwealth English) or neighborhood (American English) is a geographically localized community within a larger city, town, suburb or...

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Clearing the neighbourhood

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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...

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List of neighbourhoods in Toronto

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of the many neighbourhoods that make up Toronto, Ontario, Canada has earned the city its unofficial nickname of "the city of neighbourhoods." There are...

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Neighbourhood character

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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...

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Neighbourhood police post

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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...

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Districts and neighbourhoods of Warsaw

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neighbourhood (osiedle), a unit with no legal or administrative powers, used for statistics or as a designation within the city localization system (Miejski...

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Neighbourhood unit

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satisfactory urban existence". Clarence Perry's conceptualisation of the neighbourhood unit evolved out of an earlier idea of his, to provide a planning formula...

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Finite intersection property

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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...

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Osiedle Staromiejskie

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of Śródmieście, and administered by a neighbourhood council. It is located within the City Information System areas of New Town, Old Town, Muranów, Powiśle...

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Neighbourhoods of Accra

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infrastructure and services, unplanned neighbourhoods are characterized by poor road networks, poor drainage systems, and insufficient water and electricity...

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European Neighbourhood Policy

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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...

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Mississauga Library System

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library system of Mississauga, Ontario. The system has 18 branches, consisting of the Mississauga Central Library and 17 smaller neighbourhood libraries...

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Neighborhood watch

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A neighborhood watch or neighbourhood watch (see spelling differences), also called a crime watch or neighbourhood crime watch, is an organized group of...

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Neighbourhood police centre

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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...

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Koszyki

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administered by a neighbourhood council. It is located within the City Information System area of Śródmieście Południowe. The municipal neighbourhood of Koszyki...

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Glossary of topology

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See Local base. Neighbourhood system for a point x A neighbourhood system at a point x in a space is the collection of all neighbourhoods of x. Net A net...

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Krucza

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administrated by a neighbourhood council. It lies within the City Information System area of Śródmieście Południowe. The municipal neighbourhood of Krucza was...

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Topological space

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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...

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Neighbourhoods of Narva

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Soldina, Sutthoffi, Vanalinn, and Veekulgu. Elektrijaama is the biggest neighbourhood of Narva. Named after Estonian national hero and chess grandmaster Paul...

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