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Glossary of topology information


This is a glossary of some terms used 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.

All spaces in this glossary are assumed to be topological spaces unless stated otherwise.

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Glossary of topology

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Appendix:Glossary of topology in Wiktionary, the free dictionary. This is a glossary of some terms used in the branch of mathematics known as topology. Although...

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Glossary of algebraic topology

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glossary of properties and concepts in algebraic topology in mathematics. See also: glossary of topology, list of algebraic topology topics, glossary...

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Glossary of differential geometry and topology

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is a glossary of terms specific to differential geometry and differential topology. The following three glossaries are closely related: Glossary of general...

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Topology

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topology topics List of geometric topology topics List of topology topics Publications in topology Topoisomer Topology glossary Topological Galois theory...

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Glossary of Riemannian and metric geometry

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This is a glossary of some terms used in Riemannian geometry and metric geometry — it doesn't cover the terminology of differential topology. The following...

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Algebraic topology

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Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants...

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E8 manifold

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Lie group Glossary of topology – Mathematics glossary List of geometric topology topics Freedman, Michael Hartley (1982). "The topology of four-dimensional...

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List of topology topics

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idea of a topological space was developed. This is a list of topology topics. See also: Topology glossary List of topologies List of general topology topics...

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Glossary of bowling

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Links to other online glossaries Other sources References 180: A pinsetter malfunction in which the sweep bar is stuck at the back of the lane, halfway through...

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List of geometric topology topics

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Lens space I-bundle topology glossary List of topology topics List of general topology topics List of algebraic topology topics Publications in topology...

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List of algebraic topology topics

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Grothendieck topology Derived category Combinatorial topology Glossary of algebraic topology topology glossary List of topology topics List of general topology topics...

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Network topology

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Network topology is the arrangement of the elements (links, nodes, etc.) of a communication network. Network topology can be used to define or describe...

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Locally closed subset

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locally closed. See Glossary of topology#S for more of this notion. Countably generated space – topological space in which the topology is determined by...

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General topology

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general topology (or point set topology) is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It...

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Lists of mathematics topics

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dimension. Glossary of differential geometry and topology Glossary of general topology Glossary of Riemannian and metric geometry Glossary of scheme theory...

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List of general topology topics

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discontinuous Sheaf space Topology glossary List of topology topics List of geometric topology topics List of algebraic topology topics Publications in topology...

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Order topology

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an order topology is a specific topology that can be defined on any totally ordered set. It is a natural generalization of the topology of the real numbers...

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Differential topology

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differential topology is the field dealing with the topological properties and smooth properties of smooth manifolds. In this sense differential topology is distinct...

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Glossary of graph theory

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Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...

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Glossary of structural engineering

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This glossary of structural engineering terms pertains specifically to structural engineering and its sub-disciplines. Please see glossary of engineering...

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Glossary of set theory

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Look up Appendix:Glossary of set theory in Wiktionary, the free dictionary. This is a glossary of set theory. Contents:  Greek !$@ A B C D E F G H I J...

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Glossary of algebraic geometry

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This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory...

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Alexandrov topology

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In topology, an Alexandrov topology is a topology in which the intersection of every family of open sets is open. It is an axiom of topology that the...

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Resolvable space

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isolated points is resolvable Every submaximal space is irresolvable Glossary of topology A.B. Kharazishvili (2006), Strange functions in real analysis, Chapman...

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Continuous function

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the basis of topology. A stronger form of continuity is uniform continuity. In order theory, especially in domain theory, a related concept of continuity...

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