Noun:

ভূ স্থান,

topological space's Usage Examples:

In mathematics, a topological space is, roughly speaking, a geometrical space in which closeness is defined but, generally, cannot be measured by a numeric.

topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint non-empty.

Very roughly speaking, a topological space is a geometric object, and the homeomorphism is a continuous stretching.

mathematics, a Hausdorff space, separated space or T2 space is a topological space where for any two distinct points there exist neighbourhoods of each.

In mathematics, a topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence { x n } n = 1 ∞ {\displaystyle.

One such generalization is that a topological space is sequentially compact if every infinite sequence of points sampled.

In topology and related areas of mathematics, a subset A of a topological space X is called dense (in X) if every point x in X either belongs to A or.

A set in which such a collection is given is called a topological space, and the collection is called a topology.

topological space under a given equivalence relation is a new topological space constructed by endowing the quotient set of the original topological space.

A topological space is a set endowed with a structure, called a topology, which allows.

topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points form a discontinuous.

In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks.

In topology, a topological space is called simply connected (or 1-connected, or 1-simply connected) if it is path-connected and every path between two.

topology and related branches of mathematics, a normal space is a topological space X that satisfies Axiom T4: every two disjoint closed sets of X have.

In mathematics, a Borel set is any set in a topological space that can be formed from open sets (or, equivalently, from closed sets) through the operations.

In mathematics, a topological space X is contractible if the identity map on X is null-homotopic, i.

In mathematics, a base or basis for the topology τ of a topological space (X, τ) is a family B of open subsets of X such that every open set is equal.

In a topological space, a closed set can be defined as a set which contains all its limit.

mathematics, a metrizable space is a topological space that is homeomorphic to a metric space.

That is, a topological space ( X , T ) {\displaystyle (X,{\mathcal.

thought of as a vector space (or affine space), a metric space, a topological space, a measure space, or a linear continuum.

Synonyms:

null space; space; subspace; infinite; set; manifold; mathematical space; metric space;

Antonyms:

calculable; mortal; finite; relative; deglycerolize;