Faster access than browser!
28 relations: Anthropic principle, Baire space (set theory), Boaz Tsaban, Compact space, Continuum hypothesis, Countably generated space, D-space, Hurewicz space, Karl Menger, Lindelöf (surname), Lindelöf space, Ljubisa D.R. Kocinac, Luzin space, Marion Scheepers, Meagre set, Menger space, Paracompact space, Pointwise convergence, Rothberger space, Separability, Sequential space, Sierpiński set, Strong measure zero set, Subspace topology, Topological game, Topological space, Tychonoff space, Witold Hurewicz.
Anthropic principle
The anthropic principle is a philosophical consideration that observations of the universe must be compatible with the conscious and sapient life that observes it.
New!!: Selection principle and Anthropic principle · See more »
Baire space (set theory)
In set theory, the Baire space is the set of all infinite sequences of natural numbers with a certain topology.
New!!: Selection principle and Baire space (set theory) · See more »
Boaz Tsaban
Boaz Tsaban (born February 1973) is an Israeli mathematician on the faculty of Bar-Ilan University.
New!!: Selection principle and Boaz Tsaban · See more »
Compact space
In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).
New!!: Selection principle and Compact space · See more »
Continuum hypothesis
In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets.
New!!: Selection principle and Continuum hypothesis · See more »
Countably generated space
In mathematics, a topological space X is called countably generated if the topology of X is determined by the countable sets in a similar way as the topology of a sequential space (or a Fréchet space) by the convergent sequences.
New!!: Selection principle and Countably generated space · See more »
D-space
In mathematics, a topological space X is a D-space if for any family \ of open sets such that x\in U_x for all points x\in X, there is a closed discrete subset D of the space X such that \bigcup_U_x.
New!!: Selection principle and D-space · See more »
Hurewicz space
In mathematics, a Hurewicz space is a topological space that satisfies a certain basic selection principle that generalizes σ-compactness.
New!!: Selection principle and Hurewicz space · See more »
Karl Menger
Karl Menger (January 13, 1902 – October 5, 1985) was an Austrian-American mathematician.
New!!: Selection principle and Karl Menger · See more »
Lindelöf (surname)
Lindelöf is a surname of Swedish origin which may refer to.
New!!: Selection principle and Lindelöf (surname) · See more »
Lindelöf space
In mathematics, a Lindelöf space is a topological space in which every open cover has a countable subcover.
New!!: Selection principle and Lindelöf space · See more »
Ljubisa D.R. Kocinac
Ljubisa Dragi Rosanda Kocinac (born in Serbia in January 1947) is a mathematician and currently a Professor Emeritus at the University of Niš, Serbia.
New!!: Selection principle and Ljubisa D.R. Kocinac · See more »
Luzin space
In mathematics, a Luzin space (or Lusin space), named for N. N. Luzin, is an uncountable topological T1 space without isolated points in which every nowhere-dense subset is countable.
New!!: Selection principle and Luzin space · See more »
Marion Scheepers
Marion Scheepers is a mathematician, currently on the faculty of the Department of Mathematics of Boise State University in Boise, Idaho, where he is a distinguished professor.
New!!: Selection principle and Marion Scheepers · See more »
Meagre set
In the mathematical fields of general topology and descriptive set theory, a meagre set (also called a meager set or a set of first category) is a set that, considered as a subset of a (usually larger) topological space, is in a precise sense small or negligible.
New!!: Selection principle and Meagre set · See more »
Menger space
In mathematics, a Menger space is a topological space that satisfies a certain a basic selection principle that generalizes σ-compactness.
New!!: Selection principle and Menger space · See more »
Paracompact space
In mathematics, a paracompact space is a topological space in which every open cover has an open refinement that is locally finite.
New!!: Selection principle and Paracompact space · See more »
Pointwise convergence
In mathematics, pointwise convergence is one of various senses in which a sequence of functions can converge to a particular function.
New!!: Selection principle and Pointwise convergence · See more »
Rothberger space
In mathematics, a Rothberger space is a topological space that satisfies a certain a basic selection principle.
New!!: Selection principle and Rothberger space · See more »
Separability
Separability may refer to.
New!!: Selection principle and Separability · See more »
Sequential space
In topology and related fields of mathematics, a sequential space is a topological space that satisfies a very weak axiom of countability.
New!!: Selection principle and Sequential space · See more »
Sierpiński set
In mathematics, a Sierpiński set is an uncountable subset of a real vector space whose intersection with every measure-zero set is countable.
New!!: Selection principle and Sierpiński set · See more »
Strong measure zero set
In mathematical analysis, a strong measure zero set is a subset A of the real line with the following property: (Here |In| denotes the length of the interval In.) Every countable set is a strong measure set, and so is every union of countably many strong measure zero sets.
New!!: Selection principle and Strong measure zero set · See more »
Subspace topology
In topology and related areas of mathematics, a subspace of a topological space X is a subset S of X which is equipped with a topology induced from that of X called the subspace topology (or the relative topology, or the induced topology, or the trace topology).
New!!: Selection principle and Subspace topology · See more »
Topological game
A topological game is an infinite game of perfect information played between two players on a topological space.
New!!: Selection principle and Topological game · See more »
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.
New!!: Selection principle and Topological space · See more »
Tychonoff space
In topology and related branches of mathematics, Tychonoff spaces and completely regular spaces are kinds of topological spaces.
New!!: Selection principle and Tychonoff space · See more »
Witold Hurewicz
Witold Hurewicz (June 29, 1904 – September 6, 1956) was a Jewish-Polish mathematician.
New!!: Selection principle and Witold Hurewicz · See more »
Redirects here:
Selection Principles, Selection Principles (Mathematics).
References
[1] https://en.wikipedia.org/wiki/Selection_principle
