標題: Titlebook: Rational Homotopy Theory and Differential Forms; Phillip Griffiths,John Morgan Book 2013Latest edition Springer Science+Business Media New [打印本頁] 作者: Enkephalin 時間: 2025-3-21 16:04
書目名稱Rational Homotopy Theory and Differential Forms影響因子(影響力)
書目名稱Rational Homotopy Theory and Differential Forms影響因子(影響力)學科排名
書目名稱Rational Homotopy Theory and Differential Forms網(wǎng)絡(luò)公開度
書目名稱Rational Homotopy Theory and Differential Forms網(wǎng)絡(luò)公開度學科排名
書目名稱Rational Homotopy Theory and Differential Forms被引頻次
書目名稱Rational Homotopy Theory and Differential Forms被引頻次學科排名
書目名稱Rational Homotopy Theory and Differential Forms年度引用
書目名稱Rational Homotopy Theory and Differential Forms年度引用學科排名
書目名稱Rational Homotopy Theory and Differential Forms讀者反饋
書目名稱Rational Homotopy Theory and Differential Forms讀者反饋學科排名
作者: legislate 時間: 2025-3-21 20:50
Book 2013Latest editiontopology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplicial complexes. In addition, Sullivan’s results on computing the rational homotopy type fro作者: moribund 時間: 2025-3-22 00:42 作者: 根除 時間: 2025-3-22 06:25 作者: Resign 時間: 2025-3-22 11:10 作者: FLING 時間: 2025-3-22 14:46
Examples and Computations,consider the third homotopy group of a simply connected space and the homotopy theory of simply connected 4-manifolds. Lastly, we discuss products and Massey products in cohomology, the principle of two types and the formality of compact Kahler manifolds.作者: Eviction 時間: 2025-3-22 20:49
Functorality,the p.l. forms on C to that for X is a functorial bijection. We reformulate this result as an equivalence of the rational homotopy category of simply connected spaces with the homotopy category of simply connected DGAs defined over the rationals.作者: paradigm 時間: 2025-3-22 23:24 作者: 手段 時間: 2025-3-23 02:36
Introduction,nifold to classical algebra-topological invariants. The next seven chapters are a review of the basics of classical homotopy theory including the Postnikov tower of a space and the localization of a homotopy type at 0, forming its rational homotopy type. Chapters .–. introduce differential forms and作者: 陪審團 時間: 2025-3-23 07:23
Basic Concepts,e of a fibration is proved. The path space and loop space are introduced. Singular homology and cohomology are defined, and their basic properties are enumerated. Products in homology and cohomology are introduced and Poincar duality is stated. The chapter ends with a brief introduction to the funct作者: Instinctive 時間: 2025-3-23 12:27
CW Homology Theorem,ogy of a CW complex can be computed from a chain complex whose chain groups have a generator for each cell and whose boundary map is determined from topological information about the attaching maps of the cells. The chapter finishes with some simple examples showing how to use the main result to mak作者: 宿醉 時間: 2025-3-23 13:57 作者: thrombosis 時間: 2025-3-23 20:13 作者: Malleable 時間: 2025-3-24 01:35
Postnikov Towers and Rational Homotopy Theory,on of localizing an abelian group at 0 is introduced, and the definition of a Q-space is given and then the existence and uniqueness of the localization of a space at 0 is established by localizing the Postnikov tower.作者: 增減字母法 時間: 2025-3-24 05:27 作者: 拱形面包 時間: 2025-3-24 08:45 作者: 一再困擾 時間: 2025-3-24 11:01
Homotopy Theory of DGAs,n is established. This obstruction theory is used to show that homotopy is an equivalence relation on maps from a given minimal DGA to another given DGA. From this, one establishes that any two minimal models for a given DGA are isomorphic by an isomorphism making the relevant diagram commute up to 作者: 上流社會 時間: 2025-3-24 14:51 作者: Ferritin 時間: 2025-3-24 20:46
The Fundamental Group,rential forms. The notion of a 1-minimal model is introduced, and it is shown that every connected DGA has a 1-minimal model, unique up to isomorphism. The dual of this is a tower of nilpotent Lie algebras. We then turn to the nilpotent quotients of the fundamental group. The main result is that the作者: Munificent 時間: 2025-3-24 23:56
Examples and Computations,mmetric spaces, and the classifying spaces BU(n) and BU. We also consider the graded Lie algebra defined by Whitehead products on homotopy groups. We consider the third homotopy group of a simply connected space and the homotopy theory of simply connected 4-manifolds. Lastly, we discuss products and作者: Melanocytes 時間: 2025-3-25 03:29
Functorality,space C and for any simplicial complex X, the map from homotopy classes of maps from X to C to the homotopy classes of maps from the minimal model of the p.l. forms on C to that for X is a functorial bijection. We reformulate this result as an equivalence of the rational homotopy category of simply 作者: collagenase 時間: 2025-3-25 11:15 作者: Jacket 時間: 2025-3-25 13:34
,,-Structures and ,,-Structures, then state the result that homotopy theory of commutative DGAs is equivalent to the homotopy theory of commutative A-infinity algebras, the so-called C-infinity algebras. It follows that there is a C-infinity map from the cohomology of a space to its minimal model, a map which induces the identity 作者: 頭盔 時間: 2025-3-25 16:25 作者: Precursor 時間: 2025-3-25 20:57
DGAs and Rational Homotopy Theory,stablished, inductively one shows that the rational Postnikov tower of a space is read off from the minimal model of the p.l. forms on the space. The proof of the main inductive result, the Hirsch lemma, is postponed until Chap. .作者: 打火石 時間: 2025-3-26 02:05
,Eilenberg–MacLane Spaces, Cohomology, and Principal Fibrations,This chapter begins by showing that maps of a CW complex to an Eilenberg–MacLane space are classified by the elements in a cohomology group. Then principal fibrations with fiber an Eilenberg–MacLane space are classified by elements in a similar cohomology group.作者: Cougar 時間: 2025-3-26 05:14
The Hirsch Lemma,In this chapter, we prove the main technical result from Chap. ., namely, the result comparing principle bundles and Hirsch extensions.作者: 首創(chuàng)精神 時間: 2025-3-26 11:23 作者: Humble 時間: 2025-3-26 13:15
Phillip Griffiths,John MorganSecond edition with fully updated content.Includes a readable introduction for non-specialists.Provides many elementary examples and exercises作者: Mendicant 時間: 2025-3-26 19:50
978-1-4939-3699-1Springer Science+Business Media New York 2013作者: 致敬 時間: 2025-3-26 22:39
Rational Homotopy Theory and Differential Forms978-1-4614-8468-4Series ISSN 0743-1643 Series E-ISSN 2296-505X 作者: 熱情的我 時間: 2025-3-27 03:20
Progress in Mathematicshttp://image.papertrans.cn/r/image/821433.jpg作者: 有其法作用 時間: 2025-3-27 08:47
https://doi.org/10.1007/978-1-4614-8468-4Brouwer‘s theorem; algebraic topology; cohomology; differential forms; homotopy; obstruction theory; ratio作者: Insul島 時間: 2025-3-27 12:36 作者: 過于平凡 時間: 2025-3-27 15:35
CW Homology Theorem,ogy of a CW complex can be computed from a chain complex whose chain groups have a generator for each cell and whose boundary map is determined from topological information about the attaching maps of the cells. The chapter finishes with some simple examples showing how to use the main result to make computations.作者: Presbyopia 時間: 2025-3-27 19:11 作者: BRIBE 時間: 2025-3-27 23:37 作者: Gerontology 時間: 2025-3-28 05:52 作者: Obloquy 時間: 2025-3-28 08:59
Differential Graded Algebras,ch extensions. Hirsch extensions, up to isomorphism, are classified by a cohomology group. Lastly, the minimal model of a general simply connected DGA is defined and proved to exist by an inductive construction whose inductive step is a Hirsch extension.作者: outskirts 時間: 2025-3-28 14:27
,,-Structures and ,,-Structures, then state the result that homotopy theory of commutative DGAs is equivalent to the homotopy theory of commutative A-infinity algebras, the so-called C-infinity algebras. It follows that there is a C-infinity map from the cohomology of a space to its minimal model, a map which induces the identity on cohomology.作者: Calibrate 時間: 2025-3-28 15:00 作者: 雜役 時間: 2025-3-28 19:18
Phillip Griffiths,John Morgan, wirtschaftlichen und sozialen Rahmenbedingungen der Energieaktivit?ten st?ndig. Nicht jede Ver?nderung hat kurzfristig gesehen (positive oder negative) Auswirkungen auf die Energieversorgungssicherheit. Anla? zur Besorgnis über die Energieversorgungssicherheit sollten nur die Einflu?faktoren geben作者: heirloom 時間: 2025-3-29 02:54 作者: 能得到 時間: 2025-3-29 05:25 作者: 痛苦一下 時間: 2025-3-29 09:18 作者: 完整 時間: 2025-3-29 12:53 作者: AGONY 時間: 2025-3-29 16:21
Phillip Griffiths,John Morgann relativ einfachen Kennziffern die Entwicklung des Energieverbrauchs in Verbindung mit ?konomischen oder technischen Leitgr??en zu beschreiben. So kann der Energieverbauch in einem Land in Relation zur Bev?lkerung oder zum Sozialprodukt betrachtet werden, um die energiewirtschaftliche Entwicklung i作者: Incompetent 時間: 2025-3-29 21:20 作者: 蘆筍 時間: 2025-3-30 03:45 作者: Indolent 時間: 2025-3-30 07:36
Phillip Griffiths,John Morganprechenden Neubau geltenden Maximalwerte (Prim?renergie und Geb?udehülle) für das ge?nderte Geb?ude insgesamt um nicht mehr als 40 % überschritten werden. In diesem Fall ist folglich, wie für neu zu errichtende Geb?ude, ein energetischer Nachweis über die Gesamtenergieeffizienz zu führen. Wie für ne作者: plasma 時間: 2025-3-30 08:13 作者: 過剩 時間: 2025-3-30 13:29
Phillip Griffiths,John Morgann Atomkernstrahlungsenergie beim Durchgang durch organische Stoffe und über die Reaktionsprozesse, die in diesen Stoffen durch die absorbierte Energie der Kernstrahlen hervorgerufen werden, dar. W?hrend in der ersten Abhandlung die durch den Autor im eigenen Forschungsinstitut bzw. bei seinen wieder作者: 沐浴 時間: 2025-3-30 20:23
Phillip Griffiths,John Morganum durchschnittlich etwa 30 % und die zus?tzlich einzuhaltenden Anfor- rungen des Erneuerbare-Energien-W?rmegesetzes (EEW?rmeG) bekommt die Fachplanung der thermischen Bauphysik und der Anlagentechnik einen immer h?heren Stellenwert. In der heutigen978-3-8348-9749-7Series ISSN 2625-946X Series E-ISSN 2625-9486 作者: 忘川河 時間: 2025-3-30 23:09
0743-1643 modern approach and timely revisions, this second edition of .Rational Homotopy Theory and Differential Forms. will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory. .978-1-4939-3699-1978-1-4614-8468-4Series ISSN 0743-1643 Series E-ISSN 2296-505X 作者: Indicative 時間: 2025-3-31 04:29
im Verhandlungswege vereinbarten Ma?nahmen), verbindliche Technologiestandards, Genehmigungs- und Raumordnungsverfahren sowie verschiedene Durchsetzungsmechanismen. Ein anderer L?sungsansatz ist bei den ?konomischen Instrumenten gegeben. Zu den für die Energieaktivit?ten relevantesten ?konomischen 作者: 突變 時間: 2025-3-31 08:07
Phillip Griffiths,John MorganAusgangsbasis, wobei insbesondere auf Umweltschutzbelange eingegangen wird. Auf diese einleitenden Ausführungen folgen dann eine Untersuchung der bereits beobachteten und für die Zukunft m?glichen Auswirkungen von Umweltschutzma?nahmen auf Energieaktivit?ten und eine Analyse der Konsequenzen, die si作者: Bricklayer 時間: 2025-3-31 11:04
Phillip Griffiths,John Morganse vielleicht auf anderen Ebenen (global, regional oder lokal) und nicht im selben Milieu (Boden, Wasser, Luft) angesiedelt sind. Es wurde darauf verzichtet, eine Liste der in den einzelnen Phasen des Brennstoffzyklus jeweils auftretenden Umwelteffekte aufzustellen, da sie irreführend w?re, solange 作者: esoteric 時間: 2025-3-31 15:27 作者: Flustered 時間: 2025-3-31 17:48 作者: medium 時間: 2025-4-1 01:08 作者: Irksome 時間: 2025-4-1 03:27 作者: 爭議的蘋果 時間: 2025-4-1 07:05
Phillip Griffiths,John Morganerenzierte Analyse oder eine weitere Disaggregierung nach Verbrauchsbereichen und Anwendungszwecken anstreben und mit Hilfe entsprechender Leitgr??en oder Aktivit?tsvariablen spezielle Energieintensit?ten ableiten. Wer darüber hinaus an energietechnischen Bestimmungsgründen interessiert ist, wird au
