References Category theory

sources

adámek, jiří; herrlich, horst; strecker, george e. (2004). abstract , concrete categories. heldermann verlag berlin. 
barr, michael; wells, charles (2012), category theory computing science, reprints in theory , applications of categories, 22 (3rd ed.) .
barr, michael; wells, charles (2005), toposes, triples , theories, reprints in theory , applications of categories, 12 (revised ed.), mr 2178101 .
borceux, francis (1994). handbook of categorical algebra. encyclopedia of mathematics , applications 50–52. cambridge university press. 
freyd, peter j. (1964). abelian categories. new york: harper , row. 
freyd, peter j.; scedrov, andre (1990). categories, allegories. north holland mathematical library. 39. north holland. isbn 978-0-08-088701-2. 
goldblatt, robert (2006) [1979]. topoi: categorial analysis of logic. studies in logic , foundations of mathematics. 94 (reprint, revised ed.). dover publications. isbn 978-0-486-45026-1. 
herrlich, horst; strecker, george e. (2007). category theory (3rd ed.). heldermann verlag berlin. isbn 978-3-88538-001-6. .
kashiwara, masaki; schapira, pierre (2006). categories , sheaves. grundlehren der mathematischen wissenschaften. 332. springer. isbn 978-3-540-27949-5. 
lawvere, f. william; rosebrugh, robert (2003). sets mathematics. cambridge university press. isbn 978-0-521-01060-3. 
lawvere, f. w.; schanuel, stephen hoel (2009) [1997]. conceptual mathematics: first introduction categories (2nd ed.). cambridge university press. isbn 978-0-521-89485-2. 
leinster, tom (2004). higher operads, higher categories. london math. society lecture note series. 298. cambridge university press. isbn 978-0-521-53215-0. 
leinster, tom (2014). basic category theory. cambridge university press. 
lurie, jacob (2009). higher topos theory. annals of mathematics studies. 170. princeton, nj: princeton university press. arxiv:math.ct/0608040 . isbn 978-0-691-14049-0. mr 2522659. 
mac lane, saunders (1998). categories working mathematician. graduate texts in mathematics. 5 (2nd ed.). springer-verlag. isbn 0-387-98403-8. mr 1712872. 
mac lane, saunders; birkhoff, garrett (1999) [1967]. algebra (2nd ed.). chelsea. isbn 0-8218-1646-2. 
martini, a.; ehrig, h.; nunes, d. (1996). elements of basic category theory . technical report. technical university berlin. 96 (5). 
may, peter (1999). concise course in algebraic topology. university of chicago press. isbn 0-226-51183-9. 
guerino, mazzola (2002). topos of music, geometric logic of concepts, theory, , performance. birkhäuser. isbn 3-7643-5731-2. 
pedicchio, maria cristina; tholen, walter, eds. (2004). categorical foundations. special topics in order, topology, algebra, , sheaf theory. encyclopedia of mathematics , applications. 97. cambridge: cambridge university press. isbn 0-521-83414-7. zbl 1034.18001. 
pierce, benjamin c. (1991). basic category theory computer scientists. mit press. isbn 978-0-262-66071-6. 
schalk, a.; simmons, h. (2005). introduction category theory in 4 easy movements (pdf).  notes course offered part of msc. in mathematical logic, manchester university.
simpson, carlos. homotopy theory of higher categories. arxiv:1001.4071 . , draft of book.
taylor, paul (1999). practical foundations of mathematics. cambridge studies in advanced mathematics. 59. cambridge university press. isbn 978-0-521-63107-5. 
turi, daniele (1996–2001). category theory lecture notes (pdf). retrieved 11 december 2009.  based on mac lane 1998.