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Bordism of Diffeomorphisms and Related Topics / par Kreck, M. Publication : Berlin, Heidelberg : Springer Berlin Heidelberg, 1984 . 1 online resource : Date : 1984 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2),

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Boundedly controlled topology foundations of algebraic topology and simple homotopy theory par Anderson,, Douglas R. Publication : [S.l.] Springer 2008 . 310 p. , Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of "control near infinity". This monograph introduces the category of spaces that are "boundedly controlled" over the (usually non-compact) metric space Z. It sets out to develop the algebraic and geometric tools needed to formulate and to prove boundedly controlled analogues of many of the standard results of algebraic topology and simple homotopy theory. One of the themes of the book is to show that in many cases the proof of a standard result can be easily adapted to prove the boundedly controlled analogue and to provide the details, often omitted in other treatments, of this adaptation. For this reason, the book does not require of the reader an extensive background. In the last chapter it is shown that special cases of the boundedly controlled Whitehead group are strongly related to lower K-theoretic groups, and the boundedly controlled theory is compared to Siebenmann's proper simple homotopy theory when Z = IR or IR2. 24 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Branched standard spines of 3-manifolds par Benedetti,, Riccardo. Publication : [S.l.] Springer 2008 . 132 p. , This book provides a unified combinatorial realization of the categroies of (closed, oriented) 3-manifolds, combed 3-manifolds, framed 3-manifolds and spin 3-manifolds. In all four cases the objects of the realization are finite enhanced graphs, and only finitely many local moves have to be taken into account. These realizations are based on the notion of branched standard spine, introduced in the book as a combination of the notion of branched surface with that of standard spine. The book is intended for readers interested in low-dimensional topology, and some familiarity with the basics is assumed. A list of questions, some of which concerning relations with the theory of quantum invariants, is enclosed. 24 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Categorical Topology par Herrlich, H., Publication : New York Springer 2008 . 1 online resource (436 pages) Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Cech and steenrod homotopy theories with applications to geometric topology / par Edwards,, D. A. Publication : [S.l.] : Springer, 1976 . 303 p. ; 24 cm. Date : 1976 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Cech cohomological dimensions for commutative rings par Dobbs,, D. E. Publication : [S.l.] Springer 2009 . 180 p. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Chern-Simons theory, matrix models, and topological strings par Marino, Marcos. Publication : Oxford | New York Clarendon Press 2005 . xii, 197 pages 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Compact systems of sets par Pfanzagl,, Johann. Publication : [S.l.] Springer 2009 . 50 p. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Conformal field theory and topology par Kohno, Toshitake. Publication : [S.l.] American Mathematical Society 2002 . 172 p. , One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry. An essential difficulty in quantum field theory comes from infinite-dimensional freedom of a system. Techniques dealing with such infinite-dimensional objects developed in the framework of quantum field theory have been influential in geometry as well. This book focuses on the relationship between two-dimensional quantum field theory and three-dimensional topology which has been studied intensively since the discovery of the Jones polynomial in the middle of the 1980s and Witten's invariant for 3-manifolds which was derived from Chern-Simons gauge theory. This book gives an accessible treatment for a rigorous construction of topological invariants originally defined as partition functions of fields on manifolds. The book is organized as follows: The Introduction starts from classical mechanics and explains basic background materials in quantum field theory and geometry. Chapter 1 presents conformal field theory based on the geometry of loop groups. Chapter 2 deals with the holonomy of conformal field theory. Chapter 3 treats Chern-Simons perturbation theory. The final chapter discusses topological invariants for 3-manifolds derived from Chern-Simons perturbation theory. 22 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Differential forms in algebraic topology par Bott, Raoul Publication : New York : Springer-Verlag 1982 . xiv, 331 p. : , Includes index. 25 cm. Date : 1982 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2),

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Differential geometry and topology with a view to dynamical systems par Burns, Keith, Publication : Boca Raton CRC Press 2005 . ix, 389 pages 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Foundations of differential geometry / par Kobayashi,, Shoshichi, Publication : New York : Wiley, 1996 . 2 volumes ; , "A Wiley-Interscience publication." 23 cm. Date : 1996 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Fusion systems in algebra and topology par Aschbacher, Michael Publication : Cambridge | New York Cambridge University Press 2011 . vi, 320 pages , "A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. The book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians"-- 23 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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General topology par Kelley, John L. Publication : New York Springer-Verlag 1975 . xiv, 298 pages , Reprint of the edition published by Van Nostrand, New York in The University series in higher mathematics. | Includes index. 24 cm. Date : 1975 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Geometric problems on maxima and minima par Andreescu, Titu. Publication : Boston Birkhauser 2006 . 264 p. , Presents hundreds of extreme value problems, examples, and solutions primarily through Euclidean geometry Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning Applications to physics, engineering, and economics Ideal for use at the junior and senior undergraduate level, with wide appeal to students, teachers,professional mathematicians, and puzzle en 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Introduction to symplectic dirac operators / par Habermann, Katharina. Publication : [S.l.] : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2006 . 124 p. ; , BrochØ. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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