This publication is composed basically of notes which have been written for a sophisticated direction on Classifying areas and Cohomology of teams. The direction came about on the Centre de Recerca Mathematica (CRM) in Bellaterra from might 27 to June 2, 1998 and was once a part of an emphasis semester on Algebraic Topology. It consisted of 2 parallel sequence of 6 lectures of ninety mins every one and was once meant as an advent to new homotopy theoretic tools in staff cohomology. the 1st a part of the booklet is anxious with equipment of decomposing the classifying area of a finite crew into items made up of classifying areas of acceptable subgroups. Such decompositions were used with nice luck within the final 10-15 years within the homotopy concept of classifying areas of compact Lie teams and p-compact teams within the feel of Dwyer and Wilkerson. For simplicity the emphasis this is on finite teams and on homological houses of assorted decompositions often called centralizer resp. normalizer resp. subgroup decomposition. A unified therapy of a few of the decompositions is given and the kin among them are explored. this is often preceeded by means of a close dialogue of uncomplicated notions equivalent to classifying areas, simplicial complexes and homotopy colimits.

Show description

Read Online or Download Homotopy Theoretic Methods in Group Cohomology (Advanced Courses in Mathematics - CRM Barcelona) PDF

Best Algebraic Geometry books

Analytic K-Homology (Oxford Mathematical Monographs)

This paintings attracts jointly principles from algebraic topology, sensible research and geometry. it's a device - a way of conveying details between those 3 topics - and it's been used with luck to find theorems throughout a large span of arithmetic. the aim of this booklet is to acquaint the reader with the basic rules of analytic K-homology and improve a few of its functions.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of uncomplicated examples and methods during this quarter. appropriate for self-study by means of a reader who understands a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yank Mathematical Society, in addition to a winning Springer writer.


"It provides a delicate portrait of a very good man or woman. It describes competently and intelligibly on a nontechnical point the realm of mathematical rules during which Hilbert created his masterpieces. And it illuminates the historical past of German social heritage opposed to which the drama of Hilberts existence used to be performed.

Introduction to Analysis of the Infinite: Book I

From the preface of the writer: ". .. i've got divided this paintings into books; within the first of those i've got constrained myself to these issues relating natural research. within the moment publication i've got defined these factor which needs to be recognized from geometry, for the reason that research is often constructed in any such approach that its program to geometry is proven.

Additional info for Homotopy Theoretic Methods in Group Cohomology (Advanced Courses in Mathematics - CRM Barcelona)

Show sample text content

Rated 4.27 of 5 – based on 7 votes