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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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** 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.
** the cap, cup and slant product in algebraic topology.
** Category ( topology ) in the context of Baire spaces
** Section ( fiber bundle ), in topology
** Join ( topology ), an operation combining two topological spaces
** Frobenius theorem ( differential topology )
** Cover ( topology ), a system of ( usually, open or closed ) sets whose union is a given topological space
** The topology of F ( M ) depends only on the topology of M, not on the metric d.
** Hausdorff topologies are better-behaved than those in arbitrary general topology.
** 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 )
** Gromov's compactness theorem ( topology ) in symplectic topology
** Krull topology
** 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 >
** Arbitrated loop, for second alternate FC topology
** Fibre Channel point-to-point, for alternate FC topology
** Continuity ( topology ), a generalization to functions between topological spaces
** End ( topology )
** and morphisms
** for all morphisms and
** for all morphisms and
** Category of abelian groups Ab has abelian groups as objects and group homomorphisms as morphisms
** morphisms: ;
** 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.
** Thermodynamics, the study of the relationships between heat and mechanical energy
** 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.
** Electrostatic discharge, sudden and momentary electric current flows between two objects
** La Fin de Satan by Victor Hugo ( written between 1855 and 1860, published in 1886 )
** Lenz's law: negative feedback loop between electric and magnetic fields
** George Gordon, Lord Haddo ( 1674-d. between 1694-1708 )
** The Triple Entente, an alliance between Great Britain, France and Russia
** 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.
** Sado Kisen operates the route between Sado and Niigata.
** Tōkai Kisen operates Seven Island, running between Tokyo and Izu Islands, via Tateyama or Yokosuka.
** Kyūshū Yūsen operates the route between Fukuoka, Iki, and the two ports of Tsushima.
** 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 )
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