作者: 木質(zhì) 時(shí)間: 2025-3-21 23:22 作者: Intentional 時(shí)間: 2025-3-22 02:48
https://doi.org/10.1057/9781137025135mpler computations of homology groups of some chain complexes. The natural question of putting the computed information together to yield the homology groups of the original complex has an elegant algebraic answer due to Eilenberg: the so-called ..作者: 親愛 時(shí)間: 2025-3-22 08:35
Situation Recognition Using EventShopom the one-element category associated to the group . to .. Then, as we have pointed out earlier in Subsection 4.4.3, it is natural to define . to be the colimit of this functor. As a result, . can in general turn out to be an acyclic category, which is not necessarily a poset.作者: 集中營 時(shí)間: 2025-3-22 09:27 作者: Needlework 時(shí)間: 2025-3-22 13:45 作者: Needlework 時(shí)間: 2025-3-22 18:21 作者: 漂白 時(shí)間: 2025-3-22 21:19 作者: jocular 時(shí)間: 2025-3-23 02:07
https://doi.org/10.1007/978-3-540-71962-5Algebraic topology; Characteristic class; Homotopy; cofibration; combinatorics; discrete mathematics; fibr作者: 逗它小傻瓜 時(shí)間: 2025-3-23 05:34 作者: debouch 時(shí)間: 2025-3-23 11:13
https://doi.org/10.1057/9781137025135Category theory can be viewed as a metalanguage, whose main utility is to create a common framework for seemingly diverse notions. We have already used several of its concepts in disguise and will now proceed with the formal introduction.作者: 植物群 時(shí)間: 2025-3-23 14:41
Marianne Rachel Perfecto,Michelle G. PaternoGiven two topological spaces . and ., one can introduce an equivalence relation on the space of all continuous maps from . to ..作者: BATE 時(shí)間: 2025-3-23 18:05
https://doi.org/10.1007/978-3-658-20635-2The following notion is one of the most classical and important in homotopy theory.作者: 圣歌 時(shí)間: 2025-3-24 00:57 作者: Esophagitis 時(shí)間: 2025-3-24 02:26 作者: 大方一點(diǎn) 時(shí)間: 2025-3-24 09:28 作者: Precursor 時(shí)間: 2025-3-24 14:44 作者: 草本植物 時(shí)間: 2025-3-24 18:07 作者: 地名詞典 時(shí)間: 2025-3-24 22:53
HomotopyGiven two topological spaces . and ., one can introduce an equivalence relation on the space of all continuous maps from . to ..作者: 火光在搖曳 時(shí)間: 2025-3-25 01:19 作者: 沙漠 時(shí)間: 2025-3-25 04:15 作者: Obstruction 時(shí)間: 2025-3-25 10:40 作者: TERRA 時(shí)間: 2025-3-25 14:19
Homotopy ColimitsWe start directly by defining the main character of this chapter.作者: 瑣事 時(shí)間: 2025-3-25 16:44 作者: craving 時(shí)間: 2025-3-25 21:27 作者: 灌輸 時(shí)間: 2025-3-26 03:04
Principal Γ-Bundles and Stiefel—Whitney Characteristic Classestried to assemble a number of relevant results to entice the reader to consult the standard texts. Most of the given proofs are sketchy, though the proofs of the statements that are needed for later applications are complete.作者: indubitable 時(shí)間: 2025-3-26 08:00 作者: GEON 時(shí)間: 2025-3-26 09:26
Acyclic Categorieshe more general framework of .. As we shall see in subsequent chapters, no additional difficulties will arise, so there is virtually no penalty to pay for this generality. On the contrary, the situation gets clarified and even simplified in some cases, for example, in dealing with quotients of complexes equipped with group actions in Chapter 14.作者: Assault 時(shí)間: 2025-3-26 13:10
Evasiveness and Closure Operators of vertices is a prime power. In this chapter we describe the framework of the problem, sketch the original argument, and prove some important facts about nonevasiveness. One of the important tools is the so-called closure operators, which are also useful in other contexts.作者: 冷峻 時(shí)間: 2025-3-26 18:59 作者: 茁壯成長 時(shí)間: 2025-3-27 00:22
Chromatic Numbers and the Kneser Conjectureathematics and algebraic topology, whose solutions benefit from the interaction of the two fields. Usually, this implies constructing a topological space starting with a discrete object as an input, or, conversely, providing a discrete model for an already existing geometric or topological setting.作者: 詞匯表 時(shí)間: 2025-3-27 04:39
Structural Theory of Morphism Complexesbout this family of prodsimplicial complexes is that Hom _(-, -) complexes are fully determined by the low-dimensional data; in fact, it turns out that already knowing the 1-skeleton suffices; cf. Definition 9.16.作者: 性學(xué)院 時(shí)間: 2025-3-27 07:37
https://doi.org/10.1007/978-94-024-1141-6fined complexes and with combinatorial operations on them. Yet the aspects of the theory that we consider here and that we distinguish under the title of this book are far from classical and have been brought to the attention of the general mathematical public fairly recently.作者: Subjugate 時(shí)間: 2025-3-27 10:15 作者: epidermis 時(shí)間: 2025-3-27 13:48
https://doi.org/10.1057/9781137025135stigate one application of this principle, which allows one to break down the calculation of the homology groups of a CW complex into two hopefully simpler computations of homology groups of some chain complexes. The natural question of putting the computed information together to yield the homology作者: Cervical-Spine 時(shí)間: 2025-3-27 17:48
Methodology, research design, and methods,tried to assemble a number of relevant results to entice the reader to consult the standard texts. Most of the given proofs are sketchy, though the proofs of the statements that are needed for later applications are complete.作者: Biguanides 時(shí)間: 2025-3-27 23:08
Situation Awareness with Systems of Systemsis purely combinatorial. In this chapter we survey many different situations in which complexes defined by combinatorial data arise. While a certain attempt to structure this set of examples is taken, a complete classification is impossible, due to the nature of the subject.作者: VERT 時(shí)間: 2025-3-28 03:31 作者: 大包裹 時(shí)間: 2025-3-28 08:49 作者: malapropism 時(shí)間: 2025-3-28 11:48
Situation Recognition Using EventShophe quotient associated with this action. One structural approach is to view . as an acyclic category and to view the group action of . as a functor from the one-element category associated to the group . to .. Then, as we have pointed out earlier in Subsection 4.4.3, it is natural to define . to be 作者: outer-ear 時(shí)間: 2025-3-28 16:45 作者: 駭人 時(shí)間: 2025-3-28 19:51
Situation Recognition Using EventShopathematics and algebraic topology, whose solutions benefit from the interaction of the two fields. Usually, this implies constructing a topological space starting with a discrete object as an input, or, conversely, providing a discrete model for an already existing geometric or topological setting.作者: Coronary-Spasm 時(shí)間: 2025-3-29 01:08 作者: 藝術(shù) 時(shí)間: 2025-3-29 04:22 作者: 擔(dān)憂 時(shí)間: 2025-3-29 07:35
Algorithms and Computation in Mathematicshttp://image.papertrans.cn/c/image/229874.jpg作者: 門閂 時(shí)間: 2025-3-29 12:24 作者: palliative-care 時(shí)間: 2025-3-29 16:39
https://doi.org/10.1007/978-94-024-1141-6fined complexes and with combinatorial operations on them. Yet the aspects of the theory that we consider here and that we distinguish under the title of this book are far from classical and have been brought to the attention of the general mathematical public fairly recently.作者: 詢問 時(shí)間: 2025-3-29 20:40 作者: BIPED 時(shí)間: 2025-3-30 00:33
Situation Awareness with Systems of Systemsis purely combinatorial. In this chapter we survey many different situations in which complexes defined by combinatorial data arise. While a certain attempt to structure this set of examples is taken, a complete classification is impossible, due to the nature of the subject.作者: 橫截,橫斷 時(shí)間: 2025-3-30 04:25
Jan Tretmans,Pi?rre van de Laarhe more general framework of .. As we shall see in subsequent chapters, no additional difficulties will arise, so there is virtually no penalty to pay for this generality. On the contrary, the situation gets clarified and even simplified in some cases, for example, in dealing with quotients of complexes equipped with group actions in Chapter 14.作者: 認(rèn)識 時(shí)間: 2025-3-30 11:07
https://doi.org/10.1007/978-1-4614-6230-9 of vertices is a prime power. In this chapter we describe the framework of the problem, sketch the original argument, and prove some important facts about nonevasiveness. One of the important tools is the so-called closure operators, which are also useful in other contexts.作者: 廢除 時(shí)間: 2025-3-30 15:33
Situation Recognition Using EventShopoduction, which is aimed at setting up the notation and at helping the reader to develop intuition. Our presentation will be purely algebraic, using the topological picture only as a source for the algebraic gadgets.作者: 妨礙議事 時(shí)間: 2025-3-30 17:31
Situation Recognition Using EventShopathematics and algebraic topology, whose solutions benefit from the interaction of the two fields. Usually, this implies constructing a topological space starting with a discrete object as an input, or, conversely, providing a discrete model for an already existing geometric or topological setting.作者: 出生 時(shí)間: 2025-3-30 23:23 作者: 坦白 時(shí)間: 2025-3-31 04:45 作者: 并入 時(shí)間: 2025-3-31 07:31
1431-1550 principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms. The main benefit for the reader will be the prospect of fairly quickly getting to the forefront of modern research in this active field..978-3-540-73051-4978-3-540-71962-5Series ISSN 1431-1550 作者: 神刊 時(shí)間: 2025-3-31 09:20 作者: 致敬 時(shí)間: 2025-3-31 14:15
Cell Complexestion 2.1 with the abstract simplicial complexes, which have long been the main workhorse applications to discrete mathematics. After dealing with them, we proceed in Section 2.2 to look at polyhedral complexes, including generalized simplicial complexes, cubical complexes, and, more generally, prods作者: xanthelasma 時(shí)間: 2025-3-31 18:25 作者: capsaicin 時(shí)間: 2025-4-1 01:37 作者: 顛簸地移動(dòng) 時(shí)間: 2025-4-1 02:36
Combinatorial Complexes Melangeis purely combinatorial. In this chapter we survey many different situations in which complexes defined by combinatorial data arise. While a certain attempt to structure this set of examples is taken, a complete classification is impossible, due to the nature of the subject.作者: fulmination 時(shí)間: 2025-4-1 07:58 作者: OTHER 時(shí)間: 2025-4-1 10:46 作者: 最低點(diǎn) 時(shí)間: 2025-4-1 16:23 作者: 責(zé)問 時(shí)間: 2025-4-1 19:24
Spectral Sequencesoduction, which is aimed at setting up the notation and at helping the reader to develop intuition. Our presentation will be purely algebraic, using the topological picture only as a source for the algebraic gadgets.作者: 花爭吵 時(shí)間: 2025-4-2 01:47
Chromatic Numbers and the Kneser Conjectureathematics and algebraic topology, whose solutions benefit from the interaction of the two fields. Usually, this implies constructing a topological space starting with a discrete object as an input, or, conversely, providing a discrete model for an already existing geometric or topological setting.作者: Directed 時(shí)間: 2025-4-2 03:45
