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Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories

The authors develop a theory of $THH$ and $TC$ of Waldhausen categories and prove the analogues of Waldhausen's theorems for $K$-theory;

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An Alpine Bouquet of Algebraic Topology

spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic $K$-theory and topological cyclic, periodic, or Hochschild;

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Introduction To Homological Algebra

of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making;

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Lectures on Factorization Homology Categories and Topological Field Theories

of infinity-categories. As with the original lectures, the text is meant to be a leisurely read suitable for advanced graduate students and interested;

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More Concise Algebraic Topology

completion of topological spaces, model categories, and Hopf algebras. The first half of the book sets out the basic theory of localization and;

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Representation Theory and Higher Algebraic K-Theory

topological constructions, the author systematically discusses higher algebraic K-theory of exact, symmetric monoidal, and Waldhausen categories with;

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Representation Theory and Higher Algebraic K-Theory

topological constructions, the author systematically discusses higher algebraic K-theory of exact, symmetric monoidal, and Waldhausen categories with;

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Lectures on Functor Homology

py and homology of topological spaces, through derived functors of polynomial functors. In this regard the functor framework makes better use;

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K-theory in Algebra, Analysis and Topology

, topological cyclic homology, negative $K$-groups of monoid algebras, Milnor $K$-theory and regulators, noncommutative motives, the classification;

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Algebraic Topology

, covering spaces and singular homology theory, in detail. The text has been designed for undergraduate and beginning graduate students;

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Homotopy Theory with Bornological Coarse Spaces

. Thereby it develops background material about locally finite homology theories and C*-categories. The book is intended for advanced;

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Topological Analysis of Patterns

We use computational homology to characterize the geometry of complicated time-dependent patterns. Homology provides very basic topological;

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Geometric and Topological Inference

Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly;

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Geometric and Topological Inference

Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly;

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Topological Polymer Chemistry

have been achieved during the first decade of this century to produce an important class of polymers having a variety of cyclic and multicyclic;

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Homology of Normal Chains and Cohomology of Charges

cohomology of a pair are, respectively, locally convex and Banach spaces that are in duality. Ignoring the topological structures, the homology and;

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Differential Algebraic Topology

This book presents a geometric introduction to the homology of topological spaces and the cohomology of smooth manifolds. The author;

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Algebraic K-Theory and Algebraic Topology

, cyclic homology, intersection homology, higher class field theory, and the former telescope conjecture. This meeting was jointly funded by grants;

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Algebraic K-Theory and Algebraic Topology

, cyclic homology, intersection homology, higher class field theory, and the former telescope conjecture. This meeting was jointly funded by grants;

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

category of simple maps of spaces having X as deformation retract. The smooth and topological results then follow by smoothing and triangulation;

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

category of simple maps of spaces having X as deformation retract. The smooth and topological results then follow by smoothing and triangulation;

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Guanylate Cyclase and Cyclic GMP

. In Guanylate Cyclase and Cyclic GMP: Methods and Protocols expert researchers in the field seek to provide an overview of novel techniques to identify;

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Mod Two Homology and Cohomology

Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology. Compared to a more;

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Discrete Morse Theory

topological data analysis, combinatorics, and computer science. This book, the first one devoted solely to discrete Morse theory, serves as an;

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From Categories to Homotopy Theory

Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author;

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Computational Topology in Image Context

. Additionally, this volume contains 2 invited papers. CTIC covers a wide range of topics such as: topological invariants and their computation, homology;

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Advances in Topological Quantum Field Theory

of Ohtsuki series by N. Jacoby and R. Lawrence, and a paper by M. Asaeda and J. Przytycki on the torsion conjecture for Khovanov homology by;

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