Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-14T23:18:06.615Z Has data issue: false hasContentIssue false

Introduction to this handbook

Published online by Cambridge University Press:  30 December 2009

Francis Borceux
Affiliation:
Université Catholique de Louvain, Belgium
Get access

Summary

My concern in writing the three volumes of this Handbook of categorical algebra has been to propose a directly accessible account of what — in my opinion — a Ph.D. student should ideally know of category theory before starting research on one precise topic in this domain. Of course, there are already many good books on category theory: general accounts of the state of the art as it was in the late sixties, or specialized books on more specific recent topics. If you add to this several famous original papers not covered by any book and some important but never published works, you get a mass of material which gives probably a deeper insight in the field than this Handbook can do. But the great number and the diversity of those excellent sources just act to convince me that an integrated presentation of the most relevant aspects of them remains a useful service to the mathematical community. This is the objective of these three volumes.

The first volume presents those basic aspects of category theory which are present as such in almost every topic of categorical algebra. This includes the general theory of limits, adjoint functors and Kan extensions, but also quite sophisticated methods (like categories of fractions or orthogonal subcategories) for constructing adjoint functors.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 1994

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Introduction to this handbook
  • Francis Borceux, Université Catholique de Louvain, Belgium
  • Book: Handbook of Categorical Algebra
  • Online publication: 30 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511525858.002
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Introduction to this handbook
  • Francis Borceux, Université Catholique de Louvain, Belgium
  • Book: Handbook of Categorical Algebra
  • Online publication: 30 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511525858.002
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Introduction to this handbook
  • Francis Borceux, Université Catholique de Louvain, Belgium
  • Book: Handbook of Categorical Algebra
  • Online publication: 30 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511525858.002
Available formats
×