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1.

図書
図書
1. Covers and envelopes in the category of complexes of modules (: pbk)
J. R. García Rozas
出版情報: Boca Raton : Chapman & Hall/CRC Press, c1999  137 p. ; 24 cm
シリーズ名: Research notes in mathematics ; 407
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2.

図書
図書
2. A treatise on the line complex
by C.M. Jessop
出版情報: New York : Chelsea Pub. Co, [1969]  xv, 364 p ; 21 cm
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3.

図書
図書
3. Model categories
Mark Hovey
出版情報: Providence, R.I. : American Mathematical Society, c1999  xii, 209 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; v. 63
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目次情報: 続きを見る
Preface
Model categories / Chapter 1.：
The definition of a model category / 1.1.：
The homotopy category / 1.2.：
Quillen functors and derived functors / 1.3.：
Quillen functors / 1.3.1.：
Derived functors and naturality / 1.3.2.：
Quillen equivalences / 1.3.3.：
2-categories and pseudo-2-functors / 1.4.：
Examples / Chapter 2.：
Cofibrantly generated model categories / 2.1.：
Ordinals, cardinals, and transfinite compositions / 2.1.1.：
Relative I-cell complexes and the small object argument / 2.1.2.：
The stable category of modules / 2.1.3.：
Chain complexes of modules over a ring / 2.3.：
Topological spaces / 2.4.：
Chain complexes of comodules over a Hopf algebra / 2.5.：
The category of B-comodules / 2.5.1.：
Weak equivalences / 2.5.2.：
The model structure / 2.5.3.：
Simplicial sets / Chapter 3.：
The model structure on simplicial sets / 3.1.：
Anodyne extensions / 3.3.：
Homotopy groups / 3.4.：
Minimal fibrations / 3.5.：
Fibrations and geometric realization / 3.6.：
Monoidal model categories / Chapter 4.：
Closed monoidal categories and closed modules / 4.1.：
Monoidal model categories and modules over them / 4.2.：
The homotopy category of a monoidal model category / 4.3.：
Framings / Chapter 5.：
Diagram categories / 5.1.：
Diagrams over Reedy categories and framings / 5.2.：
A lemma about bisimplicial sets / 5.3.：
Function complexes / 5.4.：
Associativity / 5.5.：
Naturality / 5.6.：
Framings on pointed model categories / 5.7.：
Pointed model categories / Chapter 6.：
The suspension and loop functors / 6.1.：
Cofiber and fiber sequences / 6.2.：
Properties of cofiber and fiber sequences / 6.3.：
Naturality of cofiber sequences / 6.4.：
Pre-triangulated categories / 6.5.：
Pointed monoidal model categories / 6.6.：
Stable model categories and triangulated categories / Chapter 7.：
Triangulated categories / 7.1.：
Stable homotopy categories / 7.2.：
Weak generators / 7.3.：
Finitely generated model categories / 7.4.：
Vistas / Chapter 8.：
Bibliography
Index
Preface
Model categories / Chapter 1.：
The definition of a model category / 1.1.：
4.

図書
図書
4. Ends of complexes
Bruce Hughes, Andrew Ranicki
出版情報: New York : Cambridge University Press, 1996  xxv, 353 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 123
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目次情報: 続きを見る
Topology at infinity / 1：
Topology over the real line / 2：
The algebraic theory / 3：
Appendices
Topology at infinity / 1：
Topology over the real line / 2：
The algebraic theory / 3：
5.

図書
図書
5. Complexes of differential operators
by Nikolai N. Tarkhanov
出版情報: Dordrecht [Nehterlands] : Kluwer Academic Publishers, c1995  xviii, 396 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 340
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6.

図書
図書
6. Homology of cell complexes
by George E. Cooke and Ross L. Finney ; based on lectures by Norman E. Steenrod
出版情報: Princeton, N.J. : Princeton University Press , Tokyo : University of Tokyo Press, 1967  vii, 255 p. ; 24 cm
シリーズ名: Mathematical notes
Tokyo University international edition ; no. 20
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7.

図書
図書
7. Cellular structures in topology
Rudolph Fritsch, Renzo A. Piccinini
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1990  xi, 326 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 19
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目次情報: 続きを見る
The fundamental properties of CW-complexes / 1：
Categories of CW-complexes / 2：
Polyhedra and simplicial complexes / 3：
Simplicial sets / 4：
Spaces of the homotopy type of a CW-complex / 5：
Appendixes
The fundamental properties of CW-complexes / 1：
Categories of CW-complexes / 2：
Polyhedra and simplicial complexes / 3：
8.

図書
図書
8. Lectures on the theorem of Browder and Novikov and Siebenmann's thesis
by M.A. Kervaire ; notes by K. Varadarajan
出版情報: Bombay : Tata Institute of Fundamental Research, 1969  126 leaves ; 28 cm
シリーズ名: Lectures on mathematics and physics ; Mathematics ; 46
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9.

図書
図書
9. Categorical constructions in stable homotopy theory : a seminar given at the ETH, Zürich, in 1967
Myles Tierney
出版情報: Berlin ; New York : Springer-Verlag, 1969  65 p. ; 28 cm
シリーズ名: Lecture notes in mathematics ; 87
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10.

図書
図書
10. Simplicial objects in algebraic topology (pbk)
by J. Peter May
出版情報: Chicago ; London : University of Chicago Press, 1992  viii, 161 p. ; 22 cm
シリーズ名: Chicago lectures in mathematics
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目次情報: 続きを見る
Simplicial Objects and Homotopy / I：
Definitions and examples / 1：
Simplicial objects in categories; homology / 2：
Homotopy of Kan complexes / 3：
The group structures / 4：
Homotopy of simplicial maps / 5：
Function complexes / 6：
Bibliographical notes on chapter I
Fibrations, Postnikov Systems, and Minimal Complexes / II：
Kan fibrations / 7：
Postnikov systems / 8：
Minimal complexes / 9：
Minimal fibrations / 10：
Fibre products and fibre bundles / 11：
Weak homotopy type / 12：
The Hurewicz theorems / 13：
Bibliographical notes on chapter II
Geometric Realization / III：
The realization / 14：
Adjoint functors / 15：
Comparison of simplicial sets and topological spacesBibliographical notes on chapter III / 16：
Twisted Cartesian Products and Fibre Bundles / IV：
Simplicial groups / 17：
Principal fibrations and twisted Cartesian products / 18：
The group of a fibre bundle / 19：
Fibre bundles and twisted Cartesian products / 20：
Universal bundles and classifying complexes / 21：
Bibliographical notes on chapter IV
Eilenberg-Maclane Complexes and Postnikov Systems / V：
Simplicial Abelian groups / 22：
Eilenberg-MacLane complexes / 23：
K(rr, n)'s and cohomology operations / 24：
The k-invariants of Postnikov systems / 25：
Bibliographical notes on chapter V
Loop Groups, Acyclic Models, and Twisted Tensor Products / VI：
Loop groups / 26：
The functors G, W, and E / 27：
Acyclic models / 28：
The Eilenberg-Zilber theorem / 29：
Cup, Pontryagin, and cap products; twisting cochains / 30：
Brown's theorem / 31：
The Serre spectral sequence / 32：
Bibliographical notes on chapter VI
Bibliography
Simplicial Objects and Homotopy / I：
Definitions and examples / 1：
Simplicial objects in categories; homology / 2：
11.

図書
図書
11. Differential algebras in topology
David Anick
出版情報: Wellesley, Mass. : A.K. Peters, c1993  xxv, 274 p. ; 24 cm
シリーズ名: Research notes in mathematics ; 3
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12.

図書
図書
12. Functions of [alpha]-bounded type in the half-plane (ebook)
by Armen M. Jerbashian
出版情報: New York : Springer, c2005  xvi, 196 p. ; 25cm
シリーズ名: Advances in complex analysis and its applications ; v. 4
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目次情報: 続きを見る
Preface
Intro
The Liouville Operator
Blaschke Type Products
Equilibrium Relations and Factorization
Meromorphic Functions
Boundary Values
Uniform Approximations
Subharmonic Functions
Weighted Classes of Subharmonic Functions
Functions of a-Bounded Type in Spectral Theory
References
Index
Preface
Intro
The Liouville Operator
13.

図書
図書
13. Simplicial objects in algebraic topology
by J. Peter May
出版情報: Princeton, N.J. : Van Nostrand, c1967  vi, 161 p. ; 21 cm
シリーズ名: Van Nostrand mathematical studies ; no. 11
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14.

図書
図書
14. Differential geometry on complex and almost complex spaces
Kentaro Yano
出版情報: Oxford : Pergamon Press, 1965  xii, 326 p. ; 23 cm
シリーズ名: International series of monographs on pure and applied mathematics ; v. 49
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