Search results

Results 1 – 20 of 397
Advanced search

Search in namespaces:

There is a page named "Coherent topology" on Wikipedia

View (previous 20 | ) (20 | 50 | 100 | 250 | 500)
  • topology, a coherent topology is a topology that is uniquely determined by a family of subspaces. Loosely speaking, a topological space is coherent with...
    10 KB (1,728 words) - 01:51, 19 January 2024
  • that the final topology often appears. A topology is coherent with some collection of subspaces if and only if it is the final topology induced by the...
    23 KB (4,312 words) - 12:29, 6 January 2024
  • X {\displaystyle X} is then compactly generated exactly when its topology is coherent with that family of subspaces; namely, a set A ⊆ X {\displaystyle...
    30 KB (4,669 words) - 05:55, 10 July 2024
  • commutative ring. It is sometimes also called a coherent space because of the connection to coherent topoi. Let X be a topological space and let K ∘ {\displaystyle...
    5 KB (526 words) - 15:00, 16 January 2024
  • mathematics, specifically in homotopy theory and (higher) category theory, coherency is the standard that equalities or diagrams must satisfy when they hold...
    4 KB (487 words) - 16:00, 14 July 2024
  • manifolds, coherent sheaves are a class of sheaves closely linked to the geometric properties of the underlying space. The definition of coherent sheaves...
    40 KB (6,913 words) - 21:25, 2 April 2024
  • that all the inclusions are continuous (an example of a coherent topology). With this topology, K ∞ {\displaystyle \mathbb {K} ^{\infty }} becomes a complete...
    22 KB (3,603 words) - 16:12, 23 February 2024
  • Zariski topology, and the second using the classical (Euclidean) topology.) For example, the equivalence between algebraic and analytic coherent sheaves...
    26 KB (4,664 words) - 20:57, 7 July 2024
  • commutative algebra, scheme theory allows a systematic use of methods of topology and homological algebra. Scheme theory also unifies algebraic geometry...
    43 KB (6,750 words) - 01:27, 12 July 2024
  • Sheaf (mathematics) (category Algebraic topology)
    constant sheaf. But the only classical topology on such a variety is the Zariski topology, and the Zariski topology has very few open sets, so few that the...
    68 KB (10,957 words) - 23:31, 26 June 2024
  • Weak Hausdorff space (category Topology stubs)
    show that the coherent topology induced by compact Hausdorff subspaces preserves the compact Hausdorff subspaces and their subspace topology requires that...
    5 KB (715 words) - 05:01, 9 September 2023
  • {O}}_{X}} is not coherent, working with coherent sheaves has awkwardness (namely the kernel of a finite presentation can fail to be coherent). Because of...
    5 KB (562 words) - 23:27, 31 December 2023
  • Thumbnail for Non-uniform memory access
    cache coherency protocols such as the MESIF protocol attempt to reduce the communication required to maintain cache coherency. Scalable Coherent Interface...
    16 KB (1,632 words) - 13:13, 19 July 2024
  • Stone space (redirect from Stone topology)
    In topology and related areas of mathematics, a Stone space, also known as a profinite space or profinite set, is a compact totally disconnected Hausdorff...
    5 KB (590 words) - 07:53, 16 March 2024
  • In topology, an Alexandrov topology is a topology in which the intersection of every family of open sets is open. It is an axiom of topology that the...
    17 KB (2,160 words) - 00:33, 16 May 2024
  • Geometry (section Topology)
    'topology is rubber-sheet geometry'. Subfields of topology include geometric topology, differential topology, algebraic topology and general topology....
    100 KB (9,874 words) - 19:42, 5 July 2024
  • I{\text{ is an ideal of }}R\}.} This topology is called the Zariski topology. A basis for the Zariski topology can be constructed as follows. For f ∈...
    25 KB (3,919 words) - 14:10, 10 July 2024
  • functor. The prototypical theorem relating X and Xan says that for any two coherent sheaves F {\displaystyle {\mathcal {F}}} and G {\displaystyle {\mathcal...
    19 KB (2,517 words) - 21:14, 28 May 2024
  • analogue) — Let X be an affine scheme, F a quasi-coherent sheaf of OX-modules for the Zariski topology on X. Then Hp(X, F) = 0 for all p > 0. These theorems...
    4 KB (409 words) - 20:41, 7 March 2024
  • Thumbnail for Squeezed coherent state
    In physics, a squeezed coherent state is a quantum state that is usually described by two non-commuting observables having continuous spectra of eigenvalues...
    35 KB (4,890 words) - 18:08, 22 May 2024
View (previous 20 | ) (20 | 50 | 100 | 250 | 500)