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...
3 KB (472 words) - 23:31, 2 November 2022
functional analysis, a Banach space (pronounced [ˈbanax]) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows...
104 KB (17,224 words) - 06:29, 3 October 2024
metrizable spaces. Every complete topological vector space is quasi-complete and every quasi-complete topological vector space is sequentially complete. Cauchy...
2 KB (320 words) - 17:21, 8 August 2024
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...
45 KB (5,697 words) - 16:35, 12 November 2024
Quasinorm (redirect from Quasi-Banach space)
complete quasinormed space is called a quasi-Banach space. Every Banach space is a quasi-Banach space, although not conversely. A quasinormed space (...
7 KB (936 words) - 18:18, 19 September 2023
analysis and related areas of mathematics, a complete topological vector space is a topological vector space (TVS) with the property that whenever points...
91 KB (15,843 words) - 12:50, 4 October 2024
\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...
39 KB (6,409 words) - 20:06, 12 September 2024
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...
80 KB (11,081 words) - 20:23, 15 September 2024
space (TVS) is said to be countably quasi-barrelled if every strongly bounded countable union of equicontinuous subsets of its continuous dual space is...
4 KB (488 words) - 23:26, 2 November 2022
Coherent sheaf (redirect from Quasi-coherent)
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...
40 KB (6,934 words) - 06:32, 11 November 2024
Glossary of Riemannian and metric geometry (redirect from Quasi-geodesic)
a quasi-isometry is not assumed to be continuous. For example, any map between compact metric spaces is a quasi isometry. If there exists a quasi-isometry...
14 KB (2,090 words) - 01:41, 13 August 2024
particular, bornological spaces are Mackey spaces. Every quasi-complete (i.e. all closed and bounded subsets are complete) bornological space is barrelled. There...
26 KB (3,805 words) - 18:56, 27 December 2023
category, simplicially enriched category, topological category, complete Segal space. A quasi-category is also an (∞, 1)-category. Model structure There is...
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space. Moreover, it turns out that this space is complete, thus making it a Banach space. This Banach space is the L p {\displaystyle L^{p}} -space over...
69 KB (12,922 words) - 00:43, 18 November 2024
Ultrabarrelled spaces and ultrabornological spaces are quasi-ultrabarrelled. Complete and metrizable TVSs are quasi-ultrabarrelled. Barrelled space Countably...
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bornological. Every quasi-complete infrabarrelled space is barrelled. A locally convex Hausdorff quasibarrelled space that is sequentially complete is barrelled...
7 KB (1,180 words) - 19:23, 22 December 2023
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...
18 KB (2,660 words) - 09:07, 2 September 2024
Venus' quasi-satellite Earth Moon Near-Earth asteroids (including 99942 Apophis) Earth trojan (2010 TK7) Earth-crosser asteroids Earth's quasi-satellites...
6 KB (486 words) - 01:07, 7 November 2024
Alexandrov topology (redirect from Finitely generated space)
an Alexandrov topology is known as an Alexandrov-discrete space or finitely generated space. Alexandrov topologies are uniquely determined by their specialization...
17 KB (2,160 words) - 03:47, 20 October 2024
theorem states that the set of finite trees over a well-quasi-ordered set of labels is itself well-quasi-ordered under homeomorphic embedding. The theorem was...
14 KB (1,819 words) - 22:33, 21 October 2024
A quasi-experiment is an empirical interventional study used to estimate the causal impact of an intervention on target population without random assignment...
22 KB (2,904 words) - 13:50, 23 December 2023
task force ordained by the president to complete a specific, special investigation or research. They are often quasi-judicial in nature; that is, they include...
27 KB (2,216 words) - 10:45, 15 November 2024
Order topology (redirect from Ordinal space)
(possibly infinitely many) such open intervals and rays. A topological space X is called orderable or linearly orderable if there exists a total order...
14 KB (2,091 words) - 18:28, 15 October 2024
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...
3 KB (361 words) - 17:14, 22 February 2023
Quasar (redirect from Quasi-stellar object)
extremely luminous active galactic nucleus (AGN). It is sometimes known as a quasi-stellar object, abbreviated QSO. The emission from an AGN is powered by...
64 KB (7,724 words) - 23:22, 20 November 2024
Total order (redirect from Complete total order)
is in X. This is the way that is generally used to prove that a vector space has Hamel bases and that a ring has maximal ideals. In some contexts, the...
21 KB (3,093 words) - 12:07, 5 October 2024
redirect targets Countably quasi-barrelled space Complete metric space – Metric geometry Complete topological vector space – A TVS where points that get...
7 KB (1,205 words) - 19:48, 30 June 2024
Montel spaces). A locally convex quasi-barrelled space that is also a σ-barrelled space. A sequentially complete quasibarrelled space. A quasi-complete Hausdorff...
23 KB (3,556 words) - 18:16, 20 July 2024
Interactive Arts & Sciences Online Game of the Year Award in 1998. SubSpace incorporates quasi-realistic zero-friction physics into a massively multiplayer online...
23 KB (2,984 words) - 19:47, 9 July 2024
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...
7 KB (989 words) - 08:06, 10 November 2024