Homotopy Theory and Its Applications

Homotopy Theory and Its Applications

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This book is the result of a conference held to examine developments in homotopy theory in honor of Samuel Gitler in July 1993 (Cocoyoc, Mexico). It includes se

Categorical Homotopy Theory

Categorical Homotopy Theory

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This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by

Elements of Homotopy Theory

Elements of Homotopy Theory

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As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory. It is assumed that the reader is familiar with the

Syzygies and Homotopy Theory

Syzygies and Homotopy Theory

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The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familia