Found 119 Documents (Results 1–100)
To the theory of \(\mathbf{H} \)-sober spaces. (English. Russian original) Zbl 07883890
Sib. Math. J. 65, No. 4, 778-792 (2024); translation from Sib. Mat. Zh. 65, No. 4, 653-671 (2024).
Characterizations of \(\delta s(\Lambda,s)\)-symmetric spaces and sober \(\delta s(\Lambda,s)-R_0\) spaces. (English) Zbl 1538.54018
On co-sober spaces. (English) Zbl 07918261
The non-reflectivity of open well-filtered spaces via \(b\)-topology. (English) Zbl 07732320
Reviewer: Wei Yao (Nanjing)
Hofmann-Mislove type definitions of non-Hausdorff spaces. (English) Zbl 1526.54007
Reviewer: Meng Bao (Zhangzhou)
On almost sober spaces. (English) Zbl 1483.54013
Reviewer: Alexander Vauth (Lübbecke)
The \(R\)-completion of closure spaces. (English) Zbl 1481.54023
Reviewer: Eva Colebunders (Brussel)
First-countability, \( \omega \)-Rudin spaces and well-filtered determined spaces. (English) Zbl 1475.54012
Reviewer: David B. Gauld (Auckland)
On two problems about sobriety of topological spaces. (English) Zbl 1465.54020
Reviewer: Esteban Induraín (Pamplona)
K-reflections of product spaces. (English) Zbl 1458.54024
Reviewer: Sergejs Solovjovs (Praha)
A unified approach to some non-Hausdorff topological properties. (English) Zbl 1476.54031
Reviewer: Seithuti Philemon Moshokoa (Pretoria)
Raney algebras and duality for \(T_0\)-spaces. (English) Zbl 1464.54016
Reviewer: Xiaoquan Xu (Zhangzhou)
Some properties of hyper-sober and \(k\)-bounded sober spaces. (Chinese. English summary) Zbl 1488.54095
MSC:
54F05
\(SI_2\)-topology on \(T_0\) spaces. (English) Zbl 1458.54003
Reviewer: Esteban Induraín (Pamplona)
On \(T_0\) spaces determined by well-filtered spaces. (English) Zbl 1476.54021
Reviewer: Sami Lazaar (Sidi Daoued)
Sober Scott spaces are not always co-sober. (English) Zbl 1459.06004
Reviewer: Seithuti Philemon Moshokoa (Pretoria)
First countability, \( \omega \)-well-filtered spaces and reflections. (English) Zbl 1440.54017
Reviewer: Hans Peter Künzi (Rondebosch)
A direct approach to \(K\)-reflections of \(T_0\) spaces. (English) Zbl 1434.54007
Reviewer: Hans Peter Künzi (Rondebosch)
To the spectral theory of partially ordered sets. (English. Russian original) Zbl 1481.06008
Sib. Math. J. 60, No. 3, 450-463 (2019); translation from Sib. Mat. Zh. 60, No. 3, 578-598 (2019).
Spaces with no infinite discrete subspace. (English) Zbl 1420.54051
Reviewer: Hans Peter Künzi (Rondebosch)
The answer to a problem posed by Zhao and Ho. (English) Zbl 1411.54008
Reviewer: Hans Peter Künzi (Rondebosch)
On \(Q\)-bitopological spaces. (English) Zbl 1417.54014
MSC:
54E55
18B30
On the spectralization of affine and perfectly normal spaces. (English) Zbl 1408.14197
Reviewer: Alexei Kanel-Belov (Ramat-Gan)
Sober is not always co-sober. (English) Zbl 1401.06006
Reviewer: Hans Peter Künzi (Rondebosch)
Convergence and quantale-enriched categories. (English) Zbl 1407.18002
Reviewer: Luciano Stramaccia (Perugia)
Categories of locally hypercompact spaces and quasicontinuous posets. (English) Zbl 1441.06003
Reviewer: Xiaoquan Xu (Zhangzhou)
Sober metric approach spaces. (English) Zbl 1386.18010
Reviewer: Luciano Stramaccia (Perugia)
Countably sober spaces. (English) Zbl 1395.54024
Luo, Mao-Kang (ed.) et al., Proceedings of the 7th international symposium on domain theory and its applications (ISDT), Shijiazhuang, China, June 2–6, 2017. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 333, 143-151 (2017).
Solimit points and \(u\)-extensions. (English. Russian original) Zbl 1383.54026
Algebra Logic 56, No. 4, 295-301 (2017); translation from Algebra Logika 56, No. 4, 443-452 (2017).
MSC:
54D35
Spectral reflections of topological spaces. (English) Zbl 1388.54013
Reviewer: Jorge Picado (Coimbra)
A few notes on formal balls. (English) Zbl 1385.54009
Reviewer: K. P. Hart (Delft)
Sierpinski object for affine systems. (English) Zbl 1372.54007
Reviewer: Salvatore Sessa (Napoli)
MSC:
54A40
18B30
On \(Q\)-sobriety. (English) Zbl 1421.54005
MSC:
54A40
18B30
Quasihomeomorphisms and meet-semilattice equivalences of generalized topological spaces. (English) Zbl 1374.54017
Primal spaces and quasihomeomorphisms. (English) Zbl 1333.54028
Reviewer: H. Brandenburg (Berlin)
Localification procedure for affine systems. (English) Zbl 1326.18003
Reviewer: Václav Koubek (Praha)
Fundamental duality of abstract categories and its applications. (English) Zbl 1339.54008
Reviewer: Sergejs Solovjovs (Brno)
The categories \(L\)-\(\mathbf{Top}_{0}\) and \(L\)-\(\mathbf{Sob}\) as epireflective hulls. (English) Zbl 1328.54009
Category-theoretic fuzzy topological spaces and their dualities. (English) Zbl 1288.54007
Reviewer: Sergejs Solovjovs (Brno)
Quasi-Polish spaces. (English) Zbl 1270.03086
Sobriety and spatiality in categories of lattice-valued algebras. (English) Zbl 1261.18003
Reviewer: Jorge Picado (Coimbra)
Ionads. (English) Zbl 1266.18006
Reviewer: Ross H. Street (North Ryde)
Interweaving algebra and topology: lattice-valued topological systems. (English) Zbl 1244.54013
Reviewer: Sergejs Solovjovs (Brno)
A survey of fuzzifications of frames, the Papert-Papert-Isbell adjunction and sobriety. (English) Zbl 1245.06020
Reviewer: Sergejs Solovjovs (Brno)
On generalized Polish spaces and domain theoretic semi-models of topological spaces. (English) Zbl 1235.54001
Categorically-algebraic dualities. (English) Zbl 1223.08004
Reviewer: Dimitru Buşneag (Craiova)
Quasihomeomorphisms and lattice equivalent topological spaces. (English) Zbl 1197.54022
Reviewer: H. Brandenburg (Berlin)
Affine sets: the structure of complete objects and duality. (English) Zbl 1171.54011
Reviewer: Dieter Leseberg (Braunschweig)
Pre-Hausdorff spaces. (English) Zbl 1199.18006
Reviewer: Horst Herrlich (Bremen)
Countable continuous lattices and local Lindelöf spaces. (Chinese. English summary) Zbl 1199.06020
Constructing the sobrification of an approach space via bicompletion. (English) Zbl 1174.54006
Reviewer: Heinrich Reitberger (Innsbruck)
Sober spaces and sober sets. (English) Zbl 1151.06010
Reviewer: Hans Peter Künzi (Rondebosch)
Zariski closure, completeness and compactness. (English) Zbl 1105.18003
Reviewer: Akrur Behera (Rourkela)
Minimal bases, ideal extensions, and basic dualities. (English) Zbl 1128.06001
Reviewer: Horst Herrlich (Bremen)
Separation properties in constructive topology. (English) Zbl 1095.03073
Crosilla, Laura (ed.) et al., From sets and types to topology and analysis. Towards practicable foundations for constructive mathematics. Based on the workshop, Venice, Italy, May 12–16, 2003. Oxford: Oxford University Press (ISBN 0-19-856651-4/hbk). Oxford Logic Guides 48, 176-192 (2005).
An up-spectral space need not be \(A\)-spectral. (English) Zbl 1128.06008
Reviewer: Hans Peter Künzi (Rondebosch)
On classes of \(T_0\) spaces admitting completions. (English) Zbl 1052.54015
Reviewer: Hans Peter Künzi (Rondebosch)
An extension theorem for sober spaces and the Goldman topology. (English) Zbl 1042.54003
Reviewer: Bernhard Behrens (Göteborg)
Topological characterizations of some subspaces of a spectral space. (English) Zbl 1030.54024
Reviewer: J.J.Charatonik (México)
Remarks on the sobriety of Scott topology and weak topology on posets. (English) Zbl 1069.06002
Reviewer: Bohdan Zelinka (Liberec)
Quasi-metrizable spaces satisfying certain completeness conditions. (English) Zbl 1012.54018
Reviewer: J.Vaníček (Praha)
\(Z\)-join spectra of \(Z\)-supercompactly generated lattices. (English) Zbl 0976.06004
Reviewer: Oleg V.Gutik (Lviv)
Sobriety in terms of nets. (English) Zbl 0961.54019
\({\mathcal Z}\)-continuous posets and their topological manifestation. (English) Zbl 0939.06005
Reviewer: B.F.Šmarda (Brno)
\(\alpha\)-sober spaces via the orthogonal closure operator. (English) Zbl 0883.54012
Giuli, Eraldo (ed.), Categorical topology. Proceedings of the L’Aquila conference, August 31–September 4, 1994, L’Aquila, Italy. Dordrecht: Kluwer. 87-95 (1996).
\(\alpha\)-sober spaces via the orthogonal closure operator. (English) Zbl 0883.54011
Reviewer: H.Herrlich (Bremen)
A direct proof of the Hofmann-Mislove theorem. (English) Zbl 0789.54030
Reviewer: P.T.Johnstone (Cambridge)
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