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Buildings, Group Homology and Lattices

This thesis addresses questions concerning the homology of groups related to buildings. We also give a new construction of lattices in such;

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Ergodic Theoretic Methods in Group Homology: A Minicourse on L2-Betti Numbers in Group Theory

theory and homology. An example of such an interaction is provided by L2-Betti numbers: these invariants can be understood in terms of group;

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Semimodular Lattices

group theory and universal algebra. The author also deals with lattices that are 'close' to semimodularity or can be combined with;

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Semimodular Lattices

group theory and universal algebra. The author also deals with lattices that are 'close' to semimodularity or can be combined with;

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Algebraic Topology

Introduces the first concepts of Algebraic Topology, such as general simplicial complexes, simplicial homology theory, fundamental groups;

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Introduction to Louis Michel's lattice geometry through group action

Group action analysis developed and applied mainly by Louis Michel to the study of N-dimensional periodic lattices is the main subject;

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Algebra 3

theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss;

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Algebra 3

theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss;

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C*-Algebra Extensions and K-Homology. (AM-95), Volume 95

compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ? Ext (X) defines a homotopy invariant;

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Algebraic and Differential Topology

Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines;

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Singular Intersection Homology

Intersection homology is a version of homology theory that extends Poincare duality and its applications to stratified spaces, such as;

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A Primer of Subquasivariety Lattices

This book addresses Birkhoff and Mal'cev's problem of describing subquasivariety lattices. The text begins by developing the basics;

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Free Lattices

This book explores the surprisingly rich and complex structure of free lattices. The first part of the book presents a complete exposition;

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Discrete Series of GLn Over a Finite Field. (AM-81), Volume 81

--1)...(qn-1--1) over the ring of Witt vectors WF of F. In Chapter 1 the author studies the homology of partially ordered sets, and proves;

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A Geometric Approach to Homology Theory

The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that;

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Cornered Heegaard Floer Homology

homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into;

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Fuchsian Groups

This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent;

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Fixing Broken Buildings: Why Our Buildings are Crumbling

Dimitri Livas is a Construction Specialist and Entrepreneur. He is the CEO of Savil Group, a commercial construction company specialising;

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Algebraic Topology

Algebraic Topology: An Introduction starts with the combinatorial definition of simplicial (co) homology and its main properties (including;

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Educational Dimensions of School Buildings

In all modern societies almost everyone of their citizens have spent many years in school buildings, and the largest professional group;

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Banach Algebras and Applications

actions, amenability, topological homology, Arens irregularity, C*-algebras and dynamical systems, operator theory, operator spaces, and locally;

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Differential Algebraic Topology

, partitions of unity and transversality. Based on this, homology groups are constructed in the framework of stratifolds and the homology axioms are;

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Elements of Homology Theory

in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples;

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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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Banach Lattices and Positive Operators

Vector lattices-also called Riesz spaces, K-lineals, or linear lattices-were first considered by F. Riesz, L. Kantorovic, and H;

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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices;

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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices;

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