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Book description
A real gem. More than an introduction to categories, if you stick with it this is an introduction to topos theory, and more generally an invitation to Lawvere-space. In other words, the treatment is largely synthetic (as opposed to analytic). Brouwers fixed point theorem is a lovely payoff 1/3rd of the way through, and the Lawvere fixed point theorem that comes later, even better – if the treatment of dynamical systems etc. wasnt a thrill enough for the reader of what is in some respects a thoroughly elementary book. The philosophy and power of categorical thinking is also made abundantly clear. Towards the end (eg. section on connected component functor), the presentation gets a little sketchy and would benefit from supplementation from other sources, but overall a model of pedagogy and highly recommended!
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