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Topoi: The Categorial Analysis of Logic (Dover Books on Mathematics) Revised ed. Edition
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I became fascinated with topos theory in the summer of 1989. My only experience with category theory at that time was some dabbling that every graduate student gets in studying modules and in functional analysis. I didn't have much background in algebraic topology where the subject is usually developed considerably further.
Frankly, I found Goldblatt's "gentle" approach to categorical concepts and the concept of a topos very rewarding. I worked through most of the book in a summer, and was fully prepared to take on the more advanced texts at that point. Later, I had the opportunity to teach topos theory at the graduate level to people with backgrounds similar to mine (i.e., without a strong background in category theory). We worked through most of Goldblatt's book in the first semester and I guarantee that all the students were very grateful, as I had been, for Goldblatt's approach to the subject.
The book is well written, accessible to graduate students, filled with fun and often challenging exercises, and packed with references. In my opinion, it is the right place to start if you want to become proficient in topos theory (and you don't already have significant proficiency in category theory).
I do still find it full of suggestive and interesting ideas, and the author is clearly knowledgeable and enthusiastic. A general picture does emerge in the less formal discussions at the beginnings of the chapters, so flipping around a little can help you get an idea for the context. But ultimately I think this is still more accessible to graduate level math students, and I'm giving it a four star review because so far as I can tell, it succeeds in its technical aspects, and mainly fails only in reaching its entire stated audience.
Most Recent Customer Reviews
This is an interesting addition to the field that was well ahead of the pack. Not as well written as Lawvere's later "Conceptual Mathematics" it covers more territory and... Read morePublished 14 months ago by william harris