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Algebra in a Localic Topos with Applications to Ring Theory / par Borceux, Francis Publication : Berlin ; | New York: Springer-Verlag, 1983 . ix, 240 pages : 25 cm. Date : 1983 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Algebraic homotopy par Baues, Hans Joachim. Publication : [S.l.] Cambridge University Press 1988 . 466 p. , This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given, including when the fundamental group is non-trivial. Moreover, the deep connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra. 24 cm. Date : 1988 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Algebraic K-theory / par Swan,, Richard G. Publication : Berlin ; | New York Springer, 1968 . 1 online resource (262 pages). , From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very general nature." Date : 1968 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Algebraic spaces / par Knutson, Donald M. Publication : Berlin ; | New York Springer-Verlag, 1971 . 1 online resource (vi, 261 pages). , Based on the author's thesis, Massachusetts Institute of Technology. Date : 1971 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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),

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),

Categories and sheaves / par Kashiwara,, Masaki, Publication : Berlin ; | New York : Springer, 2006 . x, 497 p. : 25 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Categories confibrees additives et complexe cotangent relatif par Grothendieck, Alexandre. Publication : [S.l.] Springer 1969 . 176 p. 24 cm. Date : 1969 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Categories of algebraic systems vector and projective spaces, semigroups, rings and lattices par Petrich, M. Publication : [S.l.] Springer 2009 . 217 p. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Categories of boolean sheaves of simple algebras par Diers,, Yves. Publication : [S.l.] Springer 2009 . 168 p. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Categories tannakiennes par Rivano,, N. Saavedra. Publication : [S.l.] Springer 1972 . 418 p. 24 cm. Date : 1972 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Category Theory, Homology Theory and Their Applications Proceedings of the Conference Held at the Seattle Research Center of the Battelle Memorial In. par Hilton,, P. J., Publication : New York : Springer 2007 . 1 online resource (224 pages) Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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