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Download Abstract and Concrete Categories: The Joy of Cats (Dover Books on Mathematics) eBook

by Horst Herrlich,George E Strecker,Jiri Adamek

Download Abstract and Concrete Categories: The Joy of Cats (Dover Books on Mathematics) eBook
ISBN:
0486469344
Author:
Horst Herrlich,George E Strecker,Jiri Adamek
Category:
Mathematics
Language:
English
Publisher:
Dover Publications; Dover edition (August 3, 2009)
Pages:
528 pages
EPUB book:
1498 kb
FB2 book:
1733 kb
DJVU:
1619 kb
Other formats
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Rating:
4.5
Votes:
928


Concrete categories and concrete functors. Natural transformations.

Concrete categories and concrete functors. II Objects and Morphisms. The authors are grateful for any improvements, corrections, and remarks, and can be reached at the addresses.

Its unique approach stresses concrete categories and presents a systematic view of factorization structures, offering a unifying perspective on earlier work and summarizing recent developments. Numerous examples, ranging from general to specific, illuminate the text. Download (pdf, . 2 Mb) Donate Read. Epub FB2 mobi txt RTF. Converted file can differ from the original. If possible, download the file in its original format.

Contents: Introduction; Categories, Functors, and Natural Transformations; Objects and . Jiri Adamek Horst Herrlich George E Strecker Abstract and Concrete Categories The Joy of Cats.

Contents: Introduction; Categories, Functors, and Natural Transformations; Objects and Morphisms; Sources and Sinks; Factorization Structures; Adjoints an. .Top. American Libraries Canadian Libraries Universal Library Community Texts Project Gutenberg Biodiversity Heritage Library Children's Library. ark:/13960/t9x083w2j.

Adamek, Jiri; Herrlich, Horst; Strecker, George (1990). Abstract and Concrete Categories: The Joy of Cats (PDF). pp. 13, 15, 16, 259. ISBN 978-0-486-46934-8. Herrlich, Horst; Strecker, George (2007). Sets, classes, and conglomerates" (PDF). Category theory (3rd e.

Adamek, Jiri; Herrlich, Horst; Strecker, George . Book Description Dover Publications In. United States, 2009. 10. Abstract and Concrete Categories. Jirí Adámek, Horst Herrlich, George E Strecker.

Adamek, Jiri; Herrlich, Horst; Strecker, George E. Published by Dover Publications. ISBN 10: 0486469344 ISBN 13: 9780486469348. Published by Dover Publications Inc. 2009-01-01, Mineola, .

Jirí Adámek, Horst Herrlich, George E. Strecker. Concrete Categories and Concrete Functors. Objects and morphisms. Categories, functors, and natural transformations. Categories and Functors. Objects and Morphisms in Abstract Categories. Objects and Morphisms in Concrete Categories. Injective Objects and Essential Embeddings.

Horst Herrlich, George E. Strecker, Mathematics, Jiri Adamek. Dover Books on Mathematics. Place of Publication. Science & Mathematics: Textbooks & Study Guides.

Full recovery of all data can take up to 2 weeks! So we came to the decision at this time to double the download limits for all users until the problem is completely resolved. Its unique approach stresses concrete categories and presents a systematic view of factorization structures, offering a unifying perspective on earlier work and summarizing recent developments.

Its unique approach stresses concrete categories and presents a systematic view of factorization structures, offering a unifying perspective on earlier work and summarizing . By: George E Strecker, Jiri Adamek, Horst Herrlich.

This up-to-date introductory treatment employs the language of category theory to explore the theory of structures. Its unique approach stresses concrete categories, and each categorical notion features several examples that clearly illustrate specific and general cases.A systematic view of factorization structures, this volume contains seven chapters. The first five focus on basic theory, and the final two explore more recent re in the realm of concrete categories, cartesian closed categories, and quasitopoi. Suitable for advanced undergraduate and graduate students, it requires an elementary knowledge of set theory and can be used as a reference as well as a text. Updated by the authors in 2004, it offers a unifying perspective on earlier work and summarizes recent developments.
  • Quashant
Good book
  • The Apotheoses of Lacspor
This book is very well typeset. It looks very attractive to read.

About the things covered, this book is pretty comprehensive on the topic of categories. However, even with numerous good examples, some more explanations on the concept will definitely be preferred. For example, Yoneda's lemma is presented here as a corollary of a result whose proof is very short. Although the proof is logically presented with clarity, it makes not much sense why someone would have thought of it in the first place.

One problem I think worth mentioning is the proof of the equivalence of three conditions about concrete reflexive subcategories. In the proof, images of morphisms (under some functors) are written the same as the morphisms themselves, making the proof difficult to follow. And because all the proofs before that one are all very clear, it raises some doubt whether this particular proof is erroneous.

That said, I really appreciate authors' intention to make the book seem easy. A lot of examples definitely are useful. I only wish that, through experience, the authors would add some suggestions on how one might think about entities under discussions. (Examples: Categories as generalized monoids => Functors as generalized monoid homomorphisms. Functors as diagrams => Natural transformations as structure-preserving diagram transformations.)

P.S. This book is available online for free but I bought it anyway.
  • Rageseeker
It's a little bit too much for me. Slews of definitions and symbol manipulation, little insight into the theory.