Continuous function (topology)
Continuous function (topology) In topology and related areas of mathematics a continuous function is a morphism between topological spaces ... the topological structure. Intuitively, a function is continuous if it maps nearby points to ...
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Topology
Topology For other senses of this word, see topology (disambiguation). Topology (Greek topos, place and logos, study) is ... the most important growth area within mathematics. Topology also refers to a particular mathematical object ... in this area. In this sense, a topology is a family of open sets ...
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Topology   (translated from Italian)
Topology topology or study of the places (from the ... continuities, logon or compactness find in the topology their better formalizzazione. The topology is based essentially on the concepts of ... spazio topologico and omeomorfismo. With the term topology the collection is indicated also of ...
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Continuous   (translated from Italian)
Continuous This article is only a first draft ... relative one category In matematica , the word continuous sometimes it indicates straight real . In a more general sense, a continuous one is one insieme totally ordered that ... to this definition, straight long it is continuous, therefore like a several one others insiemi ... straight the real one. cardinalità of the continuous one it is cardinalità of straight ...
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Topology glossary
Topology glossary This is a glossary of some ... in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also fundamental to algebraic topology, differential topology and geometric topology. See ...
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Product topology
Product topology In topology and related areas of mathematics, a product ... of topological spaces equipped with a natural topology called the product topology. Definition Let I be a (possibly infinite ... i : X → X i . The product topology on X is defined to be ...
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Weak topology
Weak topology In mathematics, weak topology is an alternative term for initial topology. The term is most commonly used for the initial topology of a normed vector space with respect to its (continuous) dual. The remainder of this article ...
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Initial topology
Initial topology In topology and related areas of mathematics, the initial topology (projective topology or weak topology) on a set $X$, ...
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Alexandrov topology
Alexandrov topology In general topology the open sets of a topological space ... is open?" The answer is, the Alexandrov topology. Characterizations of Alexandrov topologies Alexandrov topologies have ... Specialization preorder characterization. T is the finest topology consistent with the specialization preorder of X i.e. the finest topology giving the preorder ≤ satisfying x ...
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Final topology
Final topology In topology and related areas of mathematics, the final topology (inductive topology or strong topology) on a set $X$, ...
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