members above the compact element. This notion of compactness simultaneously generalizes the notions of finite sets in set theory, compact sets in topology...

mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact topological space (when an element of the group...

topology, compactness is a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space. The idea is that a compact space...

Compact for Migration, a UN non-binding intergovernmental agreement Compact element, those elements of a partially ordered set that cannot be subsumed...

The Honda Element is a compact crossover SUV manufactured by Honda and marketed in North America over a single generation for model years 2003–2011 — and...

one for each element of I; MI denotes the product of copies of M, one for each element of I). Every indecomposable algebraically compact module has a...

Mercury is a chemical element; it has symbol Hg and atomic number 80. It is commonly known as quicksilver. A heavy, silvery d-block element, mercury is the...

when a top element (the infimum of the empty set) is adjoined to a Scott domain, one can conclude that: the new top element is compact (since the order...

related branches of mathematics, total-boundedness is a generalization of compactness for circumstances in which a set is not necessarily closed. A totally...

An HTML element is a type of HTML (HyperText Markup Language) document component, one of several types of HTML nodes (there are also text nodes, comment...

(infimum, meet) Limit superior and limit inferior Irreducible element Prime element Compact element Cofinal and coinitial set, sometimes also called dense Meet-dense...

architecture, and implementation. Memory-wise, arrays are compact data structures with no per-element overhead. There may be a per-array overhead (e.g., to...

the element joliotium (Jl) after Frédéric Joliot-Curie (1965). IUPAC concluded that the JINR had been the first to convincingly synthesize the element (1965)...

In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set. For example, given a set called A containing...

sequentially compact if every sequence { x n } {\displaystyle \{x_{n}\}} in A {\displaystyle A} has a convergent subsequence converging to an element of A {\displaystyle...

mathematics, a weakly compact cardinal is a certain kind of cardinal number introduced by Erdős & Tarski (1961); weakly compact cardinals are large cardinals...

meaning that given two maximal compact subgroups K and L, there is an element g ∈ G such that gKg−1 = L. Hence a maximal compact subgroup is essentially unique...

identity element. Thus every topological group has a neighborhood basis at the identity element consisting of symmetric sets. If G is a locally compact commutative...

sets is taken element-wise. In particular, K ( X ) {\displaystyle K(X)} forms a two-sided ideal in B ( X ) {\displaystyle B(X)} . Any compact operator is...

{\displaystyle C_{0}(X)} has a multiplicative unit element if and only if X {\displaystyle X} is compact. As does any C*-algebra, C 0 ( X ) {\displaystyle...

mathematics, an identity element or neutral element of a binary operation is an element that leaves unchanged every element when the operation is applied...

functions decreasing to zero at infinity, especially those with compact support on some (non-compact) space. Rngs appear in the following chain of class inclusions:...

atomic measure. A random set is a set-valued random element. One specific example is a random compact set. Let ( M , d ) {\displaystyle (M,d)} be a complete...

non-empty sets, it is possible to construct a new set by choosing one element from each set, even if the collection is infinite. Formally, it states...

continuous. s ( x ) = 1 {\displaystyle s(x)=1} , whenever x in G is a compact element. s ( x n ) = s ( x ) n {\displaystyle s(x^{n})=s(x)^{n}} for every...

and compact element with the three main metatarsals only lacking the first one, in all metatarsals the upper end is slightly eroded. Although compact, the...

The Family Compact was a small closed group of men who exercised most of the political, economic and judicial power in Upper Canada (today's Ontario)...

each non-compact simple Lie group G, one compact and one non-compact. The non-compact one is a cover of the quotient of G by a maximal compact subgroup...

In mathematics, a Casimir element (also known as a Casimir invariant or Casimir operator) is a distinguished element of the center of the universal enveloping...

In mathematics, Pontryagin duality is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups,...