Glossary of topology
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 ..
Glossary of differential geometry and topology
This is a glossary of terms specific to differential geometry and differential topology . The following two glossaries are closely related Glossary of general topologyGlossary of Riemannian and metric ..
Topology
. See also topologyglossary for definitions of some of the terms used in topology and topological ... topology topics Mereotopology Network topology multicol break Topologyglossary Topological space ..
Glossary
selfref For Wikipedia s glossary, see Wikipedia Glossary . seealso List of glossaries Wiktionary glossary A glossary is a list of terms in a particular domain of knowledge with the definitions for those ..
General topology
of frames and locales . See also Glossary of general topology for detailed definitions List of general ...In mathematics , general topology or point set topology is the branch of topology which studies properties ..
Fork (topology)
to the Glossary of graph theory Graph topology graph topology of a graph with a fork ... topology , and topological space s. image 6n graf.svg thumb A graph with forks in vertices 2, 4, and 5 ..
Strong topology (polar topology)
In functional analysis and related areas of mathematics the strong topology is the finer topology finest polar topology , the topology with the most open set s, on a dual pair . The coarser topology coarsest ..
Geospatial topology Topology In a Geographic Information System GIS , topology is a set of rules which define the relationship between points , lines , and polygons . ESRI enables topology generation within their geodatabase ..
Network topology glossary definition.aspx?id 3516 title network topology author ATIS committee PRQC publisher Alliance ...otherusesof topology Refimprove date October 2008 Image NetworkTopologies.png right thumb 300px Diagram ..
Weak topology (polar topology)
In functional analysis and related areas of mathematics the weak topology is the coarser topology coarsest polar topology , the topology with the fewest open set s, on a dual pair . The finer topology ..
Uniform topology
In mathematics , the uniform topology on a space has several different meanings depending on the context In functional analysis , it sometimes refers to a polar topology on a topological vector space . In general ..
Strong topology
In mathematics , a strong topology is a topology which is stronger than some other default topology. This term ... topology on the disjoint union topology disjoint union the topology arising from a normed vector ..
Differential topology
List of differential geometry topics Glossary of differential geometry and topology List of publications ...In mathematics , differential topology is the field dealing with differentiable function mathematics ..
Interior (topology)
In mathematics , the interior of a set S consists of all Topologyglossary P point s of S that are intuitively ... generalises to topological space s by replacing open ball with Topologyglossary N neighbourhood ..
Ultraweak topology
In functional analysis , a branch of mathematics , the ultraweak topology , also called the weak topology , or weak operator topology or &sigma weak topology , on the set B H of bounded operator s on a Hilbert ..
Natural topology
In any domain of mathematics , a space has a natural topology if there is a topology on the space which ... means little more than the assertion that the topology in question arises naturally or canonically ..
Closure (topology)
In mathematics , the closure of a set S consists of all Topologyglossary P point s which are intuitively ... generalises to topological space s by replacing open ball or ball with Topologyglossary N neighbourhood ..
Dual topology
In functional analysis and related areas of mathematics a dual topology is a locally convex topology ... are trivially a dual pair and the locally convex topology is a dual topology. Several topological ..
Ultrastrong topology
In functional analysis , the ultrastrong topology , or &sigma strong topology , or strongest topology on the set B H of bounded operator s on a Hilbert space is the topology defined by the family of seminorms ..
Counterexamples in Topology
Infobox Book name Counterexamples in Topology image image caption author Lynn Steen Lynn Arthur Steen ... 244pp. isbn ISBN 048668735X br Dover edition Counterexamples in Topology 1970, 2nd ed. 1978 is a book ..
Finite topology
It is possible for a topology to be finite in the sense that there are only finitely many open sets. This is an extreme ... topology is also encountered in a completely different sense in the study of surfaces . A surface ..
Spacetime topology
Spacetime topology , the Topological space topological structure of spacetime , is a subject studied ... and the concepts of topology thus become important in analysing local as well as global aspects ..
Extension topology
In topology , a branch of mathematics , an extension topology is a topology structure topology placed ... of extension topology, described in the sections below. Extension topology Let X be a topological ..
Mackey topology
In functional analysis and related areas of mathematics , the Mackey topology , named after George Mackey , is the finer topology finest topology for a topological vector space which still preserves the continuous ..
Operator topology
In mathematics , the requirements of functional analysis mean there are several standard topology topologies ... over the unit ball in H , we say that math T n to T math in the uniform operator topology . If math ..
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