Topological spaces

topological space

(Mathematics) Maths a set S with an associated family of subsets τ that is closed under set union and finite intersection. S and the empty set are members of τ

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Noun

topological space - (mathematics) any set of points that satisfy a set of postulates of some kind; "assume that the topological space is finite dimensional"

mathematical space

infinite, space - the unlimited expanse in which everything is located; "they tested his ability to locate objects in space"; "the boundless regions of the infinite"

math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

set - (mathematics) an abstract collection of numbers or symbols; "the set of prime numbers is infinite"

subspace - a space that is contained within another space

null space - a space that contains no points; and empty space

manifold - a set of points such as those of a closed surface or an analogue in three or more dimensions

metric space - a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality

Mentioned in	?		References in periodicals archive	?		Dictionary browser	?		Full browser	?
closed set function homeomorphism infinite manifold Manifolded Manifoldly Manifoldness MAP mapping mathematical function mathematical space metric metric function metric space null space set single-valued function space	The first seven chapters cover the usual topics of point-set or general topology, including topological spaces, new spaces from old ones, connectedness, the separation and countability axioms, and metrizability and paracompactness, as well as special topics such as contraction mapping in metric spaces, normed linear spaces, the Frechet derivative, manifolds, fractals, compactifications, the Alexander subbase, and the Tychonoff theorems. Foundations of topology, 2d ed by SciTech Book News 5) Shi-Zhong Bai and Wan-Liang Wang, I type of strong connectivity in L-fuzzy topological spaces, Fuzzy Sets and Systems 99 (1998), 375-362. Connectedness based on strongly preclosed L-sets * by Xu, Zhen-Guo; Shi, Fu-Gui / Tamsui Oxford Journal of Mathematical Sciences All the other basic preliminaries of fuzzy topological spaces used in this paper can be easily seen in Liu-Luo [32]. On [alpha]-finitistic spaces * by Ahmed, Shakeel / Tamsui Oxford Journal of Mathematical Sciences	topochemistry topog. topognosia topognosis topographer topographic topographic anatomy topographic base Topographic chart topographic engineering topographic map topographic point topographical Topographical map Topographical surveying topographically Topographist topography topoi topolatry topolect topologic topological topological group topological space Topological spaces topologically Topologist topology Topolski Toponomy toponym toponymy topophobia Topophone topos topotype topped topper Toppiece topping topping lift topping-out Toppingly topple topple down topple over tops Tops-and-bottoms topsail topsail schooner	Topological isomorphism Topological isomorphism topological K theory Topological Lattice Field Theories topological linear space Topological linear spaces topological mapping Topological Matrix Model Topological Methods in Nonlinear Analysis Topological order Topological Oscillation Search with Kinematical Analysis Topological Polar Surface Area Topological Pre-Ordering Topological product Topological properties Topological property Topological Psychology Topological quantum computer Topological quantum field theory topological shielding Topological Short-Range Order topological simplex topological simplicial complex Topological soliton topological space topological space topological space Topological spaces Topological structure Topological structure Topological structures Topological structures Topological Surgery Topological Theory of Fixed and Periodic Points Topological Trade Scheduler Algorithm Topological Transfer Efficiency Algorithm Topological vector space Topological vector space Topological vector spaces topologically topologically topologically Topologically Close Packed topologically closed set Topologically complete Topologically complete space Topologically distinguishable Topologically indistinguishable Topologically Integrated Geographic and Resource Information System Topologically Integrated Geographic Encoding & Referencing system Topologically Unrestricted Rational B Splines Topologie Gènèrale Topologie Générale topologies topologies topologies topologist topologist

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closed set
function
homeomorphism
infinite
manifold
Manifolded
Manifoldly
Manifoldness
MAP
mapping
mathematical function
mathematical space
metric
metric function
metric space
null space
set
single-valued function
space

The first seven chapters cover the usual topics of point-set or general topology, including topological spaces, new spaces from old ones, connectedness, the separation and countability axioms, and metrizability and paracompactness, as well as special topics such as contraction mapping in metric spaces, normed linear spaces, the Frechet derivative, manifolds, fractals, compactifications, the Alexander subbase, and the Tychonoff theorems.

Foundations of topology, 2d ed by SciTech Book News

5) Shi-Zhong Bai and Wan-Liang Wang, I type of strong connectivity in L-fuzzy topological spaces, Fuzzy Sets and Systems 99 (1998), 375-362.

Connectedness based on strongly preclosed L-sets * by Xu, Zhen-Guo; Shi, Fu-Gui / Tamsui Oxford Journal of Mathematical Sciences

All the other basic preliminaries of fuzzy topological spaces used in this paper can be easily seen in Liu-Luo [32].

On [alpha]-finitistic spaces * by Ahmed, Shakeel / Tamsui Oxford Journal of Mathematical Sciences

Topological isomorphism
Topological isomorphism
topological K theory
Topological Lattice Field Theories
topological linear space
Topological linear spaces
topological mapping
Topological Matrix Model
Topological Methods in Nonlinear Analysis
Topological order
Topological Oscillation Search with Kinematical Analysis
Topological Polar Surface Area
Topological Pre-Ordering
Topological product
Topological properties
Topological property
Topological Psychology
Topological quantum computer
Topological quantum field theory
topological shielding
Topological Short-Range Order
topological simplex
topological simplicial complex
Topological soliton
topological space
topological space
topological space

Topological spaces

Topological structure
Topological structure
Topological structures
Topological structures
Topological Surgery
Topological Theory of Fixed and Periodic Points
Topological Trade Scheduler Algorithm
Topological Transfer Efficiency Algorithm
Topological vector space
Topological vector space
Topological vector spaces
topologically
topologically
topologically
Topologically Close Packed
topologically closed set
Topologically complete
Topologically complete space
Topologically distinguishable
Topologically indistinguishable
Topologically Integrated Geographic and Resource Information System
Topologically Integrated Geographic Encoding & Referencing system
Topologically Unrestricted Rational B Splines
Topologie Gènèrale
Topologie Générale
topologies
topologies
topologies
topologist
topologist

topological space (redirected from Topological spaces)

topological space
(redirected from Topological spaces)