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The Homotopy Category of Simply Connected 4-Manifolds

The homotopy type of a closed simply connected 4-manifold is determined by the intersection form. The homotopy classes of maps between two;

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Surgery on Compact Manifolds

), Browder's converse to the Hirzebruch signature theorem for the existence of a manifold in a simply connected homotopy type (1962).It also includes;

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The Topology of 4-Manifolds

This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and;

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Real Homotopy of Configuration Spaces

This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces;

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Rational Homotopy Theory Ii

This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces;

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Novikov Conjectures, Index Theorems, and Rigidity

The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds;

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Calculus of Fractions and Homotopy Theory

The main purpose of the present work is to present to the reader a particularly nice category for the study of homotopy, namely the homo;

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Model Categories

category and its homotopy category. The author develops the theory of model categories, giving a careful development of the main examples. One;

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The Homotopy Theory of ( ,1)-Categories

The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;

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The Homotopy Theory of ( ,1)-Categories

The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;

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Homotopy Theory of Schemes

In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth;

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Model Categories And Their Localizations

, called weak equivalences, and then passing to the homotopy category by localizing with respect to the weak equivalences, i.e., by creating a new;

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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88

ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account;

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Algebraic L-theory and Topological Manifolds

manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincare duality space with a local quadratic;

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Algebraic L-theory and Topological Manifolds

manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincare duality space with a local quadratic;

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The Wild World of 4-Manifolds

This book offers a panorama of the topology of simply-connected smooth manifolds of dimension four. Dimension four is unlike any other;

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Geometry on Poincare Spaces. (MN-41), Volume 41

category of Poincare spaces, a certain number of geometric constructions which are usual in the world of manifolds (surgery, handle techniques;

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London Mathematical Society Lecture Note Series

This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as;

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Simplicial Homotopy Theory

computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category;

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Lie Models in Topology

general category of spaces, including the non-simply connected case, has been a challenge for the algebraic topologist community. Despite the;

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Lie Models in Topology

general category of spaces, including the non-simply connected case, has been a challenge for the algebraic topologist community. Despite the;

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Spaces of PL Manifolds and Categories of Simple Maps (AM-186)

parametrized h-cobordism theorem, derived from a homotopy equivalence between a space of PL h-cobordisms on a space X and the classifying space of a;

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Spaces of PL Manifolds and Categories of Simple Maps (AM-186)

parametrized h-cobordism theorem, derived from a homotopy equivalence between a space of PL h-cobordisms on a space X and the classifying space of a;

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London Mathematical Society Lecture Note Series Novikov Conjectures, Index Theorems, and Rigidity

The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds;

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Syzygies and Homotopy Theory

understood. Syzygies and Homotopy Theory explores the problem of nonsimply connected homotopy in the first;

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Dualizable Tensor Categories

the double dual autofunctor of a tensor category. We prove that the 2-dimensional belt-trick bordism, which unravels a double rotation;

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Algebraic Models in Geometry

the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn;

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