標題: Titlebook: Categorical Closure Operators; Gabriele Castellini Textbook 2003 Springer Science+Business Media New York 2003 Abelian group.Boundary valu [打印本頁] 作者: ACE313 時間: 2025-3-21 19:06
書目名稱Categorical Closure Operators影響因子(影響力)
書目名稱Categorical Closure Operators影響因子(影響力)學科排名
書目名稱Categorical Closure Operators網(wǎng)絡公開度
書目名稱Categorical Closure Operators網(wǎng)絡公開度學科排名
書目名稱Categorical Closure Operators被引頻次
書目名稱Categorical Closure Operators被引頻次學科排名
書目名稱Categorical Closure Operators年度引用
書目名稱Categorical Closure Operators年度引用學科排名
書目名稱Categorical Closure Operators讀者反饋
書目名稱Categorical Closure Operators讀者反饋學科排名
作者: FLINT 時間: 2025-3-21 20:13 作者: 變量 時間: 2025-3-22 00:28 作者: 休戰(zhàn) 時間: 2025-3-22 07:28 作者: Cabg318 時間: 2025-3-22 09:13
Jacques Ghysdael,Anthony Boureux that will be used in later proofs. The reader who wishes to acquire further knowledge in this topic could check [EKMS], for instance, where additional properties and many examples of Galois connections can be found.作者: Dawdle 時間: 2025-3-22 14:55 作者: Dawdle 時間: 2025-3-22 18:13
Yuri Egorov,Vladimir Kondratieverators. As a matter of fact, regular closure operators were invented before the current notion of closure operator was formulated. In order to deal with this important concept, we need to make a further assumption.作者: happiness 時間: 2025-3-23 00:57
Spectral Properties of Elliptic Operators,this chapter we provide some sufficient conditions for a regular closure operator to be hereditary. Some conditions that imply and are equivalent to weak heredity of a regular closure operator will be presented in the next chapter after the relationship between regular closure operators and epimorphisms has been cleared up.作者: 慌張 時間: 2025-3-23 04:09
On Transformation of Canonical Systems,rovided by the following characterization: a topological space . is a Hausdorff space if for every topological space . and subset . of ., whenever two continuous functions ., .: . → . agree on ., they must also agree on the topological closure of ..作者: 刺耳 時間: 2025-3-23 06:03
Ahmed M. Raslan,S. McCartney,K. J. Burchielof topological connectedness hold in our more general setting. Moreover, some interesting characterizations of the notions of (.-connected and (.)-disconnected objects introduced in the previous chapter, can be given.作者: jettison 時間: 2025-3-23 12:43
M. Meydani,R. Fielding,K. R. MartinIn this chapter we introduce two important properties of closure operators: idempotency and weak heredity. As we shall see, these properties are strongly related to the theory of factorization structures.作者: 戲法 時間: 2025-3-23 15:51 作者: Hot-Flash 時間: 2025-3-23 20:33 作者: 比喻好 時間: 2025-3-23 22:28 作者: blister 時間: 2025-3-24 03:24
Nikolai G. Rainov,W. Demmel,V. HeideckeIn this chapter two new Galois connections are introduced with the purpose of relating the notion of connectedness introduced and analyzed in the previous two chapters to the one that was briefly introduced by Dikranjan and Giuli ([DG.]) but then mostly studied by Clementino and Tholen ([CT.]) that will be presented later in this chapter.作者: Rct393 時間: 2025-3-24 08:02
Ahmed M. Raslan,S. McCartney,K. J. BurchielIn this final chapter, the Galois connections introduced in Chapters 14 and 16 are related to some previous constructions.作者: DAFT 時間: 2025-3-24 11:40 作者: prostate-gland 時間: 2025-3-24 16:35 作者: 使增至最大 時間: 2025-3-24 19:44
Additional Descriptions of ? and ? and Subobject OrthogonalityIn this chapter we provide further descriptions of the idempotent hull and the weakly hereditary core of a closure operator. We also introduce the notion of subobject orthogonality that will help us in our task.作者: 修改 時間: 2025-3-25 02:09 作者: Etching 時間: 2025-3-25 03:58 作者: reflection 時間: 2025-3-25 09:07 作者: 催眠 時間: 2025-3-25 15:24 作者: 含糊 時間: 2025-3-25 18:35 作者: arthrodesis 時間: 2025-3-25 21:45 作者: 枯萎將要 時間: 2025-3-26 00:14 作者: 凹槽 時間: 2025-3-26 06:16
S. K. Powers,J. M. Lawler,H. K. VincentIndeed we obtain the following commutative diagram of Galois connections whose details will be explained in the sequel: We proceed to introduce all the involved Galois connections and then we show the commutativity of the diagram.作者: Wordlist 時間: 2025-3-26 11:06
Yuri Egorov,Vladimir Kondratieverators. As a matter of fact, regular closure operators were invented before the current notion of closure operator was formulated. In order to deal with this important concept, we need to make a further assumption.作者: vibrant 時間: 2025-3-26 15:03 作者: 提名的名單 時間: 2025-3-26 17:11 作者: Gobble 時間: 2025-3-26 22:24
On Transformation of Canonical Systems,rovided by the following characterization: a topological space . is a Hausdorff space if for every topological space . and subset . of ., whenever two continuous functions ., .: . → . agree on ., they must also agree on the topological closure of ..作者: 知道 時間: 2025-3-27 02:09 作者: Adulterate 時間: 2025-3-27 07:14 作者: 是突襲 時間: 2025-3-27 12:31 作者: allergy 時間: 2025-3-27 17:32 作者: Pamphlet 時間: 2025-3-27 19:21
Regular Closure Operatorserators. As a matter of fact, regular closure operators were invented before the current notion of closure operator was formulated. In order to deal with this important concept, we need to make a further assumption.作者: 散開 時間: 2025-3-28 00:25
Hereditary Regular Closure Operatorsthis chapter we provide some sufficient conditions for a regular closure operator to be hereditary. Some conditions that imply and are equivalent to weak heredity of a regular closure operator will be presented in the next chapter after the relationship between regular closure operators and epimorphisms has been cleared up.作者: eustachian-tube 時間: 2025-3-28 04:58 作者: AWRY 時間: 2025-3-28 08:52
Connectedness in Categories with a Terminal Objectof topological connectedness hold in our more general setting. Moreover, some interesting characterizations of the notions of (.-connected and (.)-disconnected objects introduced in the previous chapter, can be given.作者: overbearing 時間: 2025-3-28 13:19
Some Categorical Conceptswill be left as exercises. The reader who wants a deeper insight into the topics of this chapter should consult a book on the theory of categories and in particular we suggest [AHS], [HS] and [M]. We also recommend these books for all those other concepts that are not mentioned in this chapter since they only sporadically appear in the book.作者: Malcontent 時間: 2025-3-28 17:25 作者: 分貝 時間: 2025-3-28 19:43
mples to illustrate the concepts discussed.Provides exerciseThis book presents the general theory of categorical closure operators to- gether with a number of examples, mostly drawn from topology and alge- bra, which illustrate the general concepts in several concrete situations. It is aimed mainly 作者: Stable-Angina 時間: 2025-3-28 23:19 作者: 吹牛需要藝術(shù) 時間: 2025-3-29 04:12 作者: Exclaim 時間: 2025-3-29 08:09
W. A. J. Luxemburg,B. de Pagter,A. R. Scheprbitrary category . was used and the assumption of . being epireflective was removed. The final general version of this result that used the current notion of closure operator appeared in a remark in [DG.]. We present here this final version.作者: amphibian 時間: 2025-3-29 14:29 作者: 多骨 時間: 2025-3-29 16:21 作者: FIG 時間: 2025-3-29 21:14 作者: 抗原 時間: 2025-3-30 01:35 作者: Cupping 時間: 2025-3-30 04:55 作者: Concrete 時間: 2025-3-30 11:02
Textbook 2003 which illustrate the general concepts in several concrete situations. It is aimed mainly at researchers and graduate students in the area of cate- gorical topology, and to those interested in categorical methods applied to the most common concrete categories. Categorical Closure Operators is self-c作者: 接合 時間: 2025-3-30 14:27
s about them can- not be found anywhere else, since all the results about these factorizations are usually treated as the duals of the theory of factorization structures for sources. Here, those hard-to-find de978-1-4612-6504-7978-0-8176-8234-7作者: PACK 時間: 2025-3-30 20:00
Textbook 2003se factorizations not only are essential for the theory developed in this book, but details about them can- not be found anywhere else, since all the results about these factorizations are usually treated as the duals of the theory of factorization structures for sources. Here, those hard-to-find de作者: BOAST 時間: 2025-3-30 20:59 作者: tendinitis 時間: 2025-3-31 03:45 作者: jarring 時間: 2025-3-31 05:29
Factorization Structures For Sinksorization structures have always played a fundamental role in the theory of categories and, as it will become clear later on, they also play an essential role in the theory developed in this book. As a matter of fact, the basic working environment from Chapter 4 on will be a category . with a factor作者: jocular 時間: 2025-3-31 09:24
Closure Operators: Definition and Examplesr), together with some preliminary results and examples. The first attempts at defining a special case of this new notion of closure operator started in the category . of topological spaces ([G.] and later [DG.]) and subsequently in a concrete category . → . ([C.]). However, in what follows we will 作者: 滲透 時間: 2025-3-31 15:08 作者: 攝取 時間: 2025-3-31 20:48
Regular Closure Operatorserators. As a matter of fact, regular closure operators were invented before the current notion of closure operator was formulated. In order to deal with this important concept, we need to make a further assumption.作者: Tremor 時間: 2025-3-31 23:27 作者: ANT 時間: 2025-4-1 02:00
Epimorphismsosure operator appeared in [G.]. This result was then generalized to an arbitrary category in [C.], where the setting of a concrete category over an arbitrary category . was used and the assumption of . being epireflective was removed. The final general version of this result that used the current n作者: Charade 時間: 2025-4-1 06:57 作者: 大量 時間: 2025-4-1 13:57
Connectednesser of papers were published on this subject and on possible generalizations of it. However, most of them used the common approach of first defining a notion of constant morphism and then using it to introduce a notion of connectedness and disconnectedness, accordingly. Castellini and Hajek in [CH] w
