標(biāo)題: Titlebook: Categorical Structure of Closure Operators; With Applications to D. Dikranjan,W. Tholen Book 1995 Springer Science+Business Media Dordrecht [打印本頁(yè)] 作者: 一再 時(shí)間: 2025-3-21 18:07
書(shū)目名稱Categorical Structure of Closure Operators影響因子(影響力)
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書(shū)目名稱Categorical Structure of Closure Operators網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱Categorical Structure of Closure Operators網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱Categorical Structure of Closure Operators被引頻次
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書(shū)目名稱Categorical Structure of Closure Operators讀者反饋
書(shū)目名稱Categorical Structure of Closure Operators讀者反饋學(xué)科排名
作者: 強(qiáng)壯 時(shí)間: 2025-3-21 23:04
J?rg-Martin Jehle,Stefan Harrendorfd for groups presented in sections 3.3, 3.4, and 3.5, respectively. Nevertheless, we begin with structures which generalize topological spaces, namely pretopological spaces and filter convergence spaces, for two reasons. First, additive and grounded closure operators of concrete categories may be in作者: Accord 時(shí)間: 2025-3-22 00:24 作者: corporate 時(shí)間: 2025-3-22 08:03
Joshua D. Freilich,Graeme R. Newmanre operators are equivalently described by (generalized functorial) factorization systems. The interplay between closure operators and preradicals which we have seen for .-modules in 3.4 extends to arbitrary categories; it is described by adjunctions which are (largely) compatible with the compositi作者: NOT 時(shí)間: 2025-3-22 12:09
Stefano Caneppele,Francesco Calderonihaved) category .. Depending on . one defines the .-regular closure operator of . in such a way that its dense morphisms in . are exactly the epimorphisms of .. Now everything depends on being able to “compute” the .-regular closure effectively. The strong modification of a closure operator as intro作者: 規(guī)章 時(shí)間: 2025-3-22 15:23
Policing and the Problem of Trustcategory . defines the Delta-subcategory Δ(.) of objects with .-closed diagonal, and sub categories appearing as Delta-subcategories are in any “good” category . characterized as the strongly epireflective ones. What then is the regular closure operator induced by Δ (.)? Under quite “topological” co作者: 規(guī)章 時(shí)間: 2025-3-22 20:13
Thomas M. Halaszynski D.M.D., M.D., M.B.A.d has been the theme of many research papers (see the Notes at the end of this chapter). In many cases, closure operators offer themselves as a natural tool to tackle the problem. We concentrate here on results for those categories of topology and algebra where this approach proves to be successful.作者: 宮殿般 時(shí)間: 2025-3-22 23:17 作者: harbinger 時(shí)間: 2025-3-23 01:38 作者: BILIO 時(shí)間: 2025-3-23 09:02 作者: 救護(hù)車 時(shí)間: 2025-3-23 13:27 作者: 使激動(dòng) 時(shí)間: 2025-3-23 15:46
https://doi.org/10.1007/978-94-015-8400-5Category theory; algebra; discrete mathematics; topological group; topology作者: Androgen 時(shí)間: 2025-3-23 18:02
978-90-481-4631-4Springer Science+Business Media Dordrecht 1995作者: plasma-cells 時(shí)間: 2025-3-24 00:13
Operations on Closure Operators,ach closure operator has an idempotent hull and a weakly hereditary core, and analogously for the other properties. The passage to the hull w.r.t. to a meet-stable property will normally not destroy already existing join-stable properties, and the passage to the core w.r.t. to a join-stable property will normally preserve meet-stable properties.作者: Thyroxine 時(shí)間: 2025-3-24 05:52 作者: opinionated 時(shí)間: 2025-3-24 06:58 作者: Flu表流動(dòng) 時(shí)間: 2025-3-24 13:28 作者: 陳腐的人 時(shí)間: 2025-3-24 17:52
Book 1995number of re- search articles during the past two decades. More specifically, it has been our aim to provide the categorical foundations for extensive work that was published on the epimorphism- and cowellpoweredness problem, predominantly for categories of topological spaces. In doing so we found t作者: exclamation 時(shí)間: 2025-3-24 22:57 作者: llibretto 時(shí)間: 2025-3-25 02:16 作者: 漂亮 時(shí)間: 2025-3-25 05:39
Basic Properties of Closure Operators,d from a factorization point of view. This leads to a symmetric presentation of the fundamental properties of idempotency vis-a-vis weak hereditariness and of hereditariness vis-a-vis minimality. Further important properties are given by additivity and productivity which are briefly discussed at the end of the chapter.作者: 路標(biāo) 時(shí)間: 2025-3-25 08:00 作者: Meditate 時(shí)間: 2025-3-25 14:31 作者: 拉開(kāi)這車床 時(shí)間: 2025-3-25 18:39
Examples of Closure Operators,natural closure operators of these generalized topological structures are closely linked to the natural closure operators occurring in the categories of graphs and partially ordered sets presented in 3.6. Hence they provide a unifying view of topological and “discrete” structures.作者: Pelago 時(shí)間: 2025-3-25 20:24 作者: carotenoids 時(shí)間: 2025-3-26 03:24 作者: Choreography 時(shí)間: 2025-3-26 07:47 作者: CARK 時(shí)間: 2025-3-26 12:01
https://doi.org/10.1007/978-3-319-01839-3ach closure operator has an idempotent hull and a weakly hereditary core, and analogously for the other properties. The passage to the hull w.r.t. to a meet-stable property will normally not destroy already existing join-stable properties, and the passage to the core w.r.t. to a join-stable property will normally preserve meet-stable properties.作者: V洗浴 時(shí)間: 2025-3-26 15:15 作者: LATHE 時(shí)間: 2025-3-26 18:19 作者: Cupping 時(shí)間: 2025-3-26 22:23
Ghabi A. Kaspo D.D.S., D. Orth.inite-limit preserving reflector) give rise to such closure operators. A Lawvere-Tierney topology allows for an effective construction of the reflector into its Delta-subcategory, which we describe in detail.作者: PARA 時(shí)間: 2025-3-27 03:03
Basic Properties of Closure Operators,e operation for the subobjects of each object of the category. The notions of closedness and denseness associated with a closure operator are discussed from a factorization point of view. This leads to a symmetric presentation of the fundamental properties of idempotency vis-a-vis weak hereditarines作者: 眨眼 時(shí)間: 2025-3-27 08:39 作者: 橫條 時(shí)間: 2025-3-27 12:10 作者: glowing 時(shí)間: 2025-3-27 15:43
Closure Operators, Functors, Factorization Systems,re operators are equivalently described by (generalized functorial) factorization systems. The interplay between closure operators and preradicals which we have seen for .-modules in 3.4 extends to arbitrary categories; it is described by adjunctions which are (largely) compatible with the compositi作者: Entirety 時(shí)間: 2025-3-27 19:40
Regular Closure Operators,haved) category .. Depending on . one defines the .-regular closure operator of . in such a way that its dense morphisms in . are exactly the epimorphisms of .. Now everything depends on being able to “compute” the .-regular closure effectively. The strong modification of a closure operator as intro作者: Ophthalmologist 時(shí)間: 2025-3-28 00:07
Subcategories Defined by Closure Operators,category . defines the Delta-subcategory Δ(.) of objects with .-closed diagonal, and sub categories appearing as Delta-subcategories are in any “good” category . characterized as the strongly epireflective ones. What then is the regular closure operator induced by Δ (.)? Under quite “topological” co作者: indifferent 時(shí)間: 2025-3-28 03:17
Epimorphisms and Cowellpoweredness,d has been the theme of many research papers (see the Notes at the end of this chapter). In many cases, closure operators offer themselves as a natural tool to tackle the problem. We concentrate here on results for those categories of topology and algebra where this approach proves to be successful.作者: hermitage 時(shí)間: 2025-3-28 08:55
Dense Maps and Pullback Stability,k topology and is a fundamental tool in Sheaf- and Topos Theory: Lawvere-Tierney topologies are simply idempotent and weakly hereditary closure operators (with respect to the class of monomorphisms) such that dense subobjects are stable under pullback. Localizations (=reflective subcategories with f作者: 抱負(fù) 時(shí)間: 2025-3-28 13:34
Book 1995 an equally rich and interesting supply of examples. We also had to restrict the themes in our theoretical exposition. In spite of the fact that closure operators generalize the uni- versal closure operations of abelian category theory and of topos- and sheaf theory, we chose to mention these aspect作者: JADED 時(shí)間: 2025-3-28 17:22
ld provide an equally rich and interesting supply of examples. We also had to restrict the themes in our theoretical exposition. In spite of the fact that closure operators generalize the uni- versal closure operations of abelian category theory and of topos- and sheaf theory, we chose to mention these aspect978-90-481-4631-4978-94-015-8400-5作者: START 時(shí)間: 2025-3-28 19:28
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