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Higher Topos Theory is written by Jacob Lurie and published by Princeton University Press. It's available with International Standard Book Number or ISBN identification 0691140480 (ISBN 10) and 9780691140483 (ISBN 13).
In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.