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** In topology, morphisms between topological spaces are called continuous maps, and an automorphism of a topological space is a homeomorphism of the space to itself, or self-homeomorphism ( see homeomorphism group ).

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## Some Related Sentences

** and topology

__**__

**In**

**the**product

__topology__

**,**

**the**closure

**of**

**a**product

**of**subsets

**is**equal

**to**

**the**product

**of**

**the**closures.

__**__The set

**of**infinite strings

**is**

**the**inverse limit

**of**

**the**set

**of**finite strings

**,**

**and**

**is**thus endowed with

**the**limit

__topology__.

__**__Cover

**(**

__topology__),

**a**system

**of**

**(**usually

**,**open

**or**closed ) sets whose union

**is**

**a**given

**topological**

**space**

__**__Differential

__topology__

**,**in multivariable calculus

**,**

**the**differential

**of**

**a**smooth map

**between**Euclidean

**spaces**

**or**differentiable manifolds

**is**

**the**approximating linear map

**between**

**the**tangent

**spaces**

**,**

**called**pushforward

**(**differential )

__**__

**In**geographic information systems

**and**their data structures

**,**

**the**terms "

__topology__"

**and**" planar enforcement "

**are**used

**to**indicate that

**the**border line

**between**two neighboring areas

**(**

**and**

**the**border point

**between**two connecting lines )

**is**stored only once.

__**__Also in cartography

**,**

**a**

**topological**map

**is**

**a**much simplified map that preserves

**the**mathematical

__topology__while sacrificing scale

**and**shape

__**__triangulation

**(**

__topology__), generalizations

**to**

**topological**

**spaces**other than R < sup > d </ sup >

** and morphisms

** and between

__**__Tarski's theorem: For every infinite set A

**,**there

**is**

**a**bijective map

__between__

**the**sets A

**and**A × A.

__**__United Kingdom

**of**Great Britain

**and**Ireland

**,**

**a**sovereign state from 1801

**to**1922

**(**

**and**

__between__1922

**and**1927 in its superseded form )

__**__The Benjamin Franklin Bridge across

**the**Delaware River

__between__Philadelphia

**and**Camden

**,**New Jersey

__**__

**the**former yat alternates

__between__" ya "

**and**" e ": it

**is**pronounced " ya " if it

**is**under stress

**and**

**the**next syllable does not contain

**a**front vowel

**(**e

**or**i ) – e. g. мляко

**(**mlyàko ), хляб

**(**hlyab ),

**and**" e " otherwise – e. g. млекар

**(**mlekàr ) – milkman

**,**хлебар

**(**hlebàr ) – baker.

__**__EuroAirport Basel-Mulhouse-Freiburg – pedestrian walkway

__between__

**the**French

**and**Swiss sections on Level 3

**(**departures )

**of**airport.

__**__Note:

**In**

**a**1995 interview Resnais states that

**the**final version

**of**

**the**commentary was

**a**collaboration

__between__Marker

**and**Jean Cayrol

**(**source: Film Comment

**).**

__**__The chase girdle: this

**is**

**the**brief length

**of**

**the**chase

__between__

**the**chase astragal

**and**fillets

**and**

**the**reinforce.

__**__Series one:

**an**introductory special on boxing day 1967

**,**followed by 13 regular episodes

**of**30 minutes broadcast

__between__26 December 1967

**to**28 March 1968

**,**Thursdays at 17: 25.

__**__Series two: 13 episodes

**of**30 minutes broadcast

__between__19 February 1969

**to**14 May 1969

**,**Wednesdays at 17: 20.

__**__Special matches

__between__teams adjudged first-class by

**the**Board

**(**s )

**of**cricket concerned

**,**with

**the**approval

**of**

**the**International Cricket Council

__**__Gentbrugge Station:

**a**regional train station in

__between__

**the**two main train stations

**,**Sint-Pieters

**and**Dampoort.

__**__For some verbs in some languages

**,**

**the**difference

__between__perfective

**and**imperfective conveys

**an**additional meaning difference ; in such cases

**,**

**the**two aspects

**are**typically translated using separate verbs in English.

__**__Tōkai Kisen operates Seven Island

**,**running

__between__Tokyo

**and**Izu Islands

**,**via Tateyama

**or**Yokosuka.

__**__Kyūshū Shōsen operates

**the**route

__between__Nagasaki

**and**

**the**two

**of**Gotō Islands

**,**namely Fukuejima

**and**Nakadōrijima.

__**__Kagoshima Shōsen

**and**Cosmo Line operate

**the**various routes

__between__Kagoshima

**and**Tanegashima

**or**Yakushima.

__**__

**a**direct interaction occurs when one object

**is**on

**a**level exactly one higher

**or**one lower than

**the**other

**(**i. e., on

**a**tree

**,**

**the**two objects have

**a**line

__between__them )

0.396 seconds.