Science/Engineering Notes on categories and groupoids (Van Nostrand Reinhold mathematical studies) (0442034067)

Like Book123?! Give us +1

More

Philip J Higgins, "Notes on categories and groupoids (Van Nostrand Reinhold mathematical studies)"

This book presents applications of groupoids to group theory and topology which would make clear the advantage and elegance of groupoid methods. The Schreier and Kurosh subgroup theorems are proved in Chapter 14. This chapter also contains a broad generalisation of Grushko’s theorem which seems to be not very well known. In Chapter 15,the same method is applied to colimits of groups rather than free products, and weaker results hold in this case. In particular, there is a conceptual form of the theorem of Reidemeister and Schreier deriving a presentation of a subgroup from a presentation of the containing group. The case of subgroups of amalgamated free products of groups, first studied by Hanna Neumann is discussed at the end of this chapter. Chapter 16 on homology of groupoids can now be seen as related to Grothendieck’s important notion of simplicial nerve of a category or groupoid. The notion of free product with amalgamation of groupoids strongly influenced Ronnie Brown to introduce the fundamental groupoid on a set of base points, and so to give a van Kampen theorem for unions of nonconnected spaces which allowed the direct deduction of the fundamental group of the circle, and more. Chapter 17 gives a version of these matters.

Enjoy this great book! Brought to you by SMIRK

Buy Book at Lowest Price on Amazon

Rating:
2.5 out of 5 by Book123

Download Links
Server	Status
Direct Download Link 1	Alive
Direct Download Link 2	Alive
Download Link (Uploading)	Alive
Download Link (Uploadbox)	Alive
Download Link (Download Link 1)	Alive
Buy This Book at Best Price >>

Like this article?! Give us +1:

	Study Model Categories (Mathematical Surveys and Monographs) Model Categories (Mathematical Surveys and Monographs)Publisher:American Mathematical Society(1998-09) \| ISBN-10: 0821813595 \| PDF \| 8.3 Mb \| 209 pageModel categories are a tool for inverting certain maps in a category in a controllable man ...
	Science/Engineering Groupoids and Smarandache Groupoids Groupoids and Smarandache Groupoids Publisher: American Research Press \| ISBN: 1931233616 \| edition 2002 \| PDF \| 112 pages \| 1,17 mbDefinition:Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A ...
	Science/Engineering Computer Methods for Circuit Analysis and Design (Van Nostrand Reinhold Electrical/Computer Science and Engine) Computer Methods for Circuit Analysis and Design (Van Nostrand Reinhold Electrical/Computer Science and Engine)By Jirí VlachPublisher: Springer \| 1983 \| 628 Pages \| ISBN: 0442281080 \| PDF \| 16.28 MB“From Book News, Inc.This text is a ...
	Study General Theory of Lie Groupoids and Lie Algebroids (London Mathematical Society Lecture Note Series) Kirill C. H. Mackenzie "General Theory of Lie Groupoids and Lie Algebroids (London Mathematical Society Lecture Note Series)"Cambridge University Press \| English \| 2005-07-11 \| ISBN: 0521499283 \| 540 pages \| PDF \| 3,4 MBThis comprehensive m ...
	Study Applications of Categories in Computer Science: Proceedings of the London Mathematical Society Symposium, Durham 1991 M. P. Fourman, P. T. Johnstone, A. M. Pitts "Applications of Categories in Computer Science: Proceedings of the London Mathematical Society Symposium, Durham 1991"Cambridge University Press \| English \| 1992-06-26 \| ISBN: 0521427266 \| 352 pa ...
	Nonfiction Notes on Categories and Groupoids This book presents a self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment i ...

Share this page with your friends now!
Text link
Forum (BBCode)
Website (HTML)

DISCLAIMER:

This site does not store Science/Engineering Notes on categories and groupoids (Van Nostrand Reinhold mathematical studies) on its server. We only index and link to Science/Engineering Notes on categories and groupoids (Van Nostrand Reinhold mathematical studies) provided by other sites. Please contact the content providers to delete Science/Engineering Notes on categories and groupoids (Van Nostrand Reinhold mathematical studies) if any and email us, we'll remove relevant links or contents immediately.

	Study Model Categories (Mathematical Surveys and Monographs) Model Categories (Mathematical Surveys and Monographs)Publisher:American Mathematical Society(1998-09) \| ISBN-10: 0821813595 \| PDF \| 8.3 Mb \| 209 pageModel categories are a tool for inverting certain maps in a category in a controllable man ...
	Science/Engineering Groupoids and Smarandache Groupoids Groupoids and Smarandache Groupoids Publisher: American Research Press \| ISBN: 1931233616 \| edition 2002 \| PDF \| 112 pages \| 1,17 mbDefinition:Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A ...
	Science/Engineering Computer Methods for Circuit Analysis and Design (Van Nostrand Reinhold Electrical/Computer Science and Engine) Computer Methods for Circuit Analysis and Design (Van Nostrand Reinhold Electrical/Computer Science and Engine)By Jirí VlachPublisher: Springer \| 1983 \| 628 Pages \| ISBN: 0442281080 \| PDF \| 16.28 MB“From Book News, Inc.This text is a ...
	Study General Theory of Lie Groupoids and Lie Algebroids (London Mathematical Society Lecture Note Series) Kirill C. H. Mackenzie "General Theory of Lie Groupoids and Lie Algebroids (London Mathematical Society Lecture Note Series)"Cambridge University Press \| English \| 2005-07-11 \| ISBN: 0521499283 \| 540 pages \| PDF \| 3,4 MBThis comprehensive m ...
	Study Applications of Categories in Computer Science: Proceedings of the London Mathematical Society Symposium, Durham 1991 M. P. Fourman, P. T. Johnstone, A. M. Pitts "Applications of Categories in Computer Science: Proceedings of the London Mathematical Society Symposium, Durham 1991"Cambridge University Press \| English \| 1992-06-26 \| ISBN: 0521427266 \| 352 pa ...
	Nonfiction Notes on Categories and Groupoids This book presents a self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment i ...

Book123

Categories

Share With Friends

Archive by Date

Search Tag

Newest

Useful Links

Science/Engineering Notes on categories and groupoids (Van Nostrand Reinhold mathematical studies)

Related Articles

DISCLAIMER:

Comments (0) All