topological vector space (TVS) is said to be quasi-complete or boundedly complete if every closed and bounded subset is complete. This concept is of...

metrizable spaces. Every complete topological vector space is quasi-complete and every quasi-complete topological vector space is sequentially complete. Cauchy...

space (quasi-compact space) as a topological space where each filter has a cluster point (i.e., 8. in the above). For any subset A of Euclidean space...

analysis, a Banach space (/ˈbɑː.nʌx/, Polish pronunciation: [ˈba.nax]) is a complete normed vector space. Thus, a Banach space is a vector space with a metric...

space (TVS) is said to be countably quasi-barrelled if every strongly bounded countable union of equicontinuous subsets of its continuous dual space is...

analysis and related areas of mathematics, a complete topological vector space is a topological vector space (TVS) with the property that whenever points...

complete quasinormed space is called a quasi-Banach space. Every Banach space is a quasi-Banach space, although not conversely. A quasinormed space (...

bornological. Every quasi-complete infrabarrelled space is barrelled. A locally convex Hausdorff quasibarrelled space that is sequentially complete is barrelled...

\sigma \left(X,X^{\prime }\right)} is quasi-complete. If X {\displaystyle X} is a Hausdorff locally convex space then the following are equivalent: X {\displaystyle...

Ultrabarrelled spaces and ultrabornological spaces are quasi-ultrabarrelled. Complete and metrizable TVSs are quasi-ultrabarrelled. Barrelled space Countably...

spaces are essentially identical. They are called quasi-isometric if there is a quasi-isometry between them. A normed vector space is a vector space equipped...

theorem states that the set of finite trees over a well-quasi-ordered set of labels is itself well-quasi-ordered under homeomorphic embedding. A finitary application...

particular, bornological spaces are Mackey spaces. Every quasi-complete (i.e. all closed and bounded subsets are complete) bornological space is barrelled. There...

for studying the sections of a given coherent sheaf. A quasi-coherent sheaf on a ringed space ( X , O X ) {\displaystyle (X,{\mathcal {O}}_{X})} is a...

Bang is implicitly accepted and is used as the basis of more complete theories.: 388  Quasi-steady-state cosmology (QSS) was proposed in 1993 by Fred Hoyle...

category, simplicially enriched category, topological category, complete Segal space. A quasi-category is also an (∞, 1)-category. Model structure There is...

Venus' quasi-satellite Earth Moon Near-Earth asteroids 2021 PH27 99942 Apophis 433 Eros Earth trojans (2010 TK7) Earth-crosser asteroids Earth's quasi-satellites...

space is again a Mackey space. A separated quotient of a Mackey space is again a Mackey space. A Mackey space need not be separable, complete, quasi-barrelled...

barrelled spaces that are not σ-quasi-barrelled. There exist quasi-complete locally convex TVSs that are not sequentially barrelled. Barrelled space H-space Quasibarrelled...

mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). A conditionally complete lattice...

{\displaystyle p} -norm is a normed vector space. Moreover, it turns out that this space is complete, thus making it a Banach space. The grid distance or rectilinear...

ordered subfield that is isomorphic to the rational numbers. Any Dedekind-complete ordered field is isomorphic to the real numbers. The letters of the alphabet...

compact. Every proper metric space is complete. Pseudo-Riemannian manifold Quasi-convex subspace of a metric space X {\textstyle X} is a subset Y ⊆ X {\textstyle...

(possibly infinitely many) such open intervals and rays. A topological space X is called orderable or linearly orderable if there exists a total order...

is a natural preorder on the set of the points of a topological space. For most spaces that are considered in practice, namely for all those that satisfy...

ordered vector space or partially ordered vector space is a vector space equipped with a partial order that is compatible with the vector space operations...

rigid space. Huber worked out a theory of adic spaces to resolve this, by taking a limit over all blow-ups. These spaces are quasi-compact, quasi-separated...

Riesz space, lattice-ordered vector space or vector lattice is a partially ordered vector space where the order structure is a lattice. Riesz spaces are...

A quasi-experiment is a research design used to estimate the causal impact of an intervention. Quasi-experiments share similarities with experiments and...

{\bar {z}}} . There are quasi-conformal mappings in every isotopy class and so an alternative definition for The Teichmüller space is as follows. Fix a Riemann...