From Categories to Homotopy Theory

The book has appeared in the book series Cambridge Studies in Advanced Mathematics as No 188.

My contract allows me to keep a pdf file of the book on my homepage. In this file, the errata from below have been corrected.

Here is the Zentralblatt Review.

List of errata:

• In Lemma 2.2.5 the target category is the category of sets and not some arbitrary category.
• Garbled notation p. 92: The categories in exercise 5.1.3 were named differently from the ones in the definiton. That's corrected in the pdf. Thanks to someone who called himself Pavel Uryson for spotting that!
• In the proof of Proposition 5.3.2 there was a superfluous colimit over D in formula (5.3.1). Thanks to Martin Madel for finding that typo.
• typo in 10.5.1: a $$di$$ should be a $$d_i$$.
• In 10.7.1 two instances should be the opposite category. (PU)
• Remark 10.7.2 was slightly garbled. (PU)
• In 10.12.6 the $$n$$-tuple should start with $$x_0$$. (PU)
• Lemma 10.12.7 was not optimal as stated. It is true for all $$n \geq 1$$. (PU)
• typo p. 348: At the beginning of 15.2 there was a superfluous $$\otimes$$.
• In the proof of Lemma 15.2.1 there was a superfluous direct sum over morphisms.
• p. 349, 15.2.3: Of course the Ext should have cohomological (not homological) degree.

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