Faster access than browser!Similarities between List of general topology topics and Polish space
List of general topology topics and Polish space have 15 things in common (in Unionpedia): Cantor space, Complete metric space, Dense set, Descriptive set theory, General topology, Gδ set, Hausdorff space, Hilbert cube, Homeomorphism, Σ-compact space, Locally compact space, Metric space, Metrization theorem, Separable space, Topological space.
Cantor space
In mathematics, a Cantor space, named for Georg Cantor, is a topological abstraction of the classical Cantor set: a topological space is a Cantor space if it is homeomorphic to the Cantor set.
Cantor space and List of general topology topics · Cantor space and Polish space ·
Complete metric space
In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M. Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary).
Complete metric space and List of general topology topics · Complete metric space and Polish space ·
Dense set
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 is a limit point of A, that is the closure of A is constituting the whole set X. Informally, for every point in X, the point is either in A or arbitrarily "close" to a member of A — for instance, every real number either is a rational number or has a rational number arbitrarily close to it (see Diophantine approximation).
Dense set and List of general topology topics · Dense set and Polish space ·
Descriptive set theory
In mathematical logic, descriptive set theory (DST) is the study of certain classes of "well-behaved" subsets of the real line and other Polish spaces.
Descriptive set theory and List of general topology topics · Descriptive set theory and Polish space ·
General topology
In mathematics, general topology is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology.
General topology and List of general topology topics · General topology and Polish space ·
Gδ set
In the mathematical field of topology, a Gδ set is a subset of a topological space that is a countable intersection of open sets.
Gδ set and List of general topology topics · Gδ set and Polish space ·
Hausdorff space
In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods.
Hausdorff space and List of general topology topics · Hausdorff space and Polish space ·
Hilbert cube
In mathematics, the Hilbert cube, named after David Hilbert, is a topological space that provides an instructive example of some ideas in topology.
Hilbert cube and List of general topology topics · Hilbert cube and Polish space ·
Homeomorphism
In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.
Homeomorphism and List of general topology topics · Homeomorphism and Polish space ·
Σ-compact space
In mathematics, a topological space is said to be σ-compact if it is the union of countably many compact subspaces.
Σ-compact space and List of general topology topics · Σ-compact space and Polish space ·
Locally compact space
In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.
List of general topology topics and Locally compact space · Locally compact space and Polish space ·
Metric space
In mathematics, a metric space is a set for which distances between all members of the set are defined.
List of general topology topics and Metric space · Metric space and Polish space ·
Metrization theorem
In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space.
List of general topology topics and Metrization theorem · Metrization theorem and Polish space ·
Separable space
In mathematics, a topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence \_^ of elements of the space such that every nonempty open subset of the space contains at least one element of the sequence.
List of general topology topics and Separable space · Polish space and Separable space ·
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
List of general topology topics and Topological space · Polish space and Topological space ·
The list above answers the following questions
- What List of general topology topics and Polish space have in common
- What are the similarities between List of general topology topics and Polish space
List of general topology topics and Polish space Comparison
List of general topology topics has 166 relations, while Polish space has 51. As they have in common 15, the Jaccard index is 6.91% = 15 / (166 + 51).
References
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