A Primer on Homotopy Colimits
by Daniel Dugger
Publisher: University of Oregon 2008
Number of pages: 72
Description:
This is an expository paper on homotopy colimits and homotopy limits. These are constructions which should arguably be in the toolkit of every modern algebraic topologist. Many proofs are avoided, or perhaps just sketched.
Download or read it online for free here:
Download link
(560KB, PDF)
Similar books
H Ring Spectra and Their Applications
by R. R. Bruner, J. P. May, J. E. McClure, M. Steinberger - Springer
This volume concerns spectra with enriched multiplicative structure. It is a truism that interesting cohomology theories are represented by ring spectra, the product on the spectrum giving rise to the cup products in the theory.
(10267 views)
by R. R. Bruner, J. P. May, J. E. McClure, M. Steinberger - Springer
This volume concerns spectra with enriched multiplicative structure. It is a truism that interesting cohomology theories are represented by ring spectra, the product on the spectrum giving rise to the cup products in the theory.
(10267 views)
Differential Forms and Cohomology: Course
by Peter Saveliev - Intelligent Perception
Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.
(9071 views)
by Peter Saveliev - Intelligent Perception
Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.
(9071 views)
An Introduction to Algebraic Surgery
by Andrew Ranicki - arXiv
Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory.
(11159 views)
by Andrew Ranicki - arXiv
Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory.
(11159 views)
Topological Groups: Yesterday, Today, Tomorrow
by Sidney A. Morris (ed.) - MDPI AG
The aim of this book is to describe significant topics in topological group theory in the early 21st century as well as providing some guidance to the future directions topological group theory might take by including some interesting open questions.
(6396 views)
by Sidney A. Morris (ed.) - MDPI AG
The aim of this book is to describe significant topics in topological group theory in the early 21st century as well as providing some guidance to the future directions topological group theory might take by including some interesting open questions.
(6396 views)