Bachelor thesis about the Dold-Kan correspondence
https://github.com/Jaxan/Dold-Kan
You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
142 lines
3.8 KiB
142 lines
3.8 KiB
$p14: 3:
|
|
@article {friedman,
|
|
AUTHOR = {Friedman, Greg},
|
|
TITLE = {Survey article: an elementary illustrated introduction to
|
|
simplicial sets},
|
|
JOURNAL = {Rocky Mountain J. Math.},
|
|
FJOURNAL = {The Rocky Mountain Journal of Mathematics},
|
|
VOLUME = {42},
|
|
YEAR = {2012},
|
|
NUMBER = {2},
|
|
PAGES = {353--423},
|
|
ISSN = {0035-7596},
|
|
CODEN = {RMJMAE},
|
|
MRCLASS = {55U10 (18G30)},
|
|
MRNUMBER = {2915498},
|
|
MRREVIEWER = {Beno\^ {\i}t Fresse},
|
|
DOI = {10.1216/RMJ-2012-42-2-353},
|
|
URL = {http://dx.doi.org/10.1216/RMJ-2012-42-2-353},
|
|
}
|
|
|
|
% p2: I: 1-4
|
|
% p198: VII: 5
|
|
% p220: VIII: 1-2
|
|
@book {lamotke,
|
|
AUTHOR = {Lamotke, Klaus},
|
|
TITLE = {Semisimpliziale algebraische {T}opologie},
|
|
SERIES = {Die Grundlehren der mathematischen Wissenschaften, Band 147},
|
|
PUBLISHER = {Springer-Verlag},
|
|
ADDRESS = {Berlin},
|
|
YEAR = {1968},
|
|
PAGES = {viii+285},
|
|
MRCLASS = {55.40},
|
|
MRNUMBER = {0245005 (39 \#6318)},
|
|
MRREVIEWER = {R. Fritsch},
|
|
}
|
|
|
|
% p254: 8: 2-4
|
|
@book {weibel,
|
|
AUTHOR = {Weibel, Charles A.},
|
|
TITLE = {An introduction to homological algebra},
|
|
SERIES = {Cambridge Studies in Advanced Mathematics},
|
|
VOLUME = {38},
|
|
PUBLISHER = {Cambridge University Press},
|
|
ADDRESS = {Cambridge},
|
|
YEAR = {1994},
|
|
PAGES = {xiv+450},
|
|
ISBN = {0-521-43500-5; 0-521-55987-1},
|
|
MRCLASS = {18-01 (16-01 17-01 20-01 55Uxx)},
|
|
MRNUMBER = {1269324 (95f:18001)},
|
|
MRREVIEWER = {Kenneth A. Brown},
|
|
}
|
|
|
|
@article {kan,
|
|
AUTHOR = {Kan, Daniel M.},
|
|
TITLE = {Functors involving c.s.s. complexes},
|
|
JOURNAL = {Trans. Amer. Math. Soc.},
|
|
FJOURNAL = {Transactions of the American Mathematical Society},
|
|
VOLUME = {87},
|
|
YEAR = {1958},
|
|
PAGES = {330--346},
|
|
ISSN = {0002-9947},
|
|
MRCLASS = {55.25},
|
|
MRNUMBER = {0131873 (24 \#A1720)},
|
|
MRREVIEWER = {D. Puppe},
|
|
}
|
|
|
|
@article {dold,
|
|
AUTHOR = {Dold, Albrecht},
|
|
TITLE = {Homology of symmetric products and other functors of complexes},
|
|
JOURNAL = {Ann. of Math. (2)},
|
|
FJOURNAL = {Annals of Mathematics. Second Series},
|
|
VOLUME = {68},
|
|
YEAR = {1958},
|
|
PAGES = {54--80},
|
|
ISSN = {0003-486X},
|
|
MRCLASS = {55.00},
|
|
MRNUMBER = {0097057 (20 \#3537)},
|
|
MRREVIEWER = {Sze-tsen Hu},
|
|
}
|
|
|
|
% theorem 4.1
|
|
@article {eilenberg,
|
|
AUTHOR = {Eilenberg, Samuel and Mac Lane, Saunders},
|
|
TITLE = {On the groups of {$H(\Pi,n)$}. {I}},
|
|
JOURNAL = {Ann. of Math. (2)},
|
|
FJOURNAL = {Annals of Mathematics. Second Series},
|
|
VOLUME = {58},
|
|
YEAR = {1953},
|
|
PAGES = {55--106},
|
|
ISSN = {0003-486X},
|
|
MRCLASS = {56.0X},
|
|
MRNUMBER = {0056295 (15,54b)},
|
|
MRREVIEWER = {P. J. Hilton},
|
|
}
|
|
|
|
%p303: 5.5
|
|
@book {rotman,
|
|
AUTHOR = {Rotman, Joseph J.},
|
|
TITLE = {An introduction to homological algebra},
|
|
SERIES = {Universitext},
|
|
EDITION = {Second},
|
|
PUBLISHER = {Springer},
|
|
ADDRESS = {New York},
|
|
YEAR = {2009},
|
|
PAGES = {xiv+709},
|
|
ISBN = {978-0-387-24527-0},
|
|
MRCLASS = {18Gxx (13Dxx 16Exx 18-01 20J06)},
|
|
MRNUMBER = {2455920 (2009i:18011)},
|
|
MRREVIEWER = {Fernando Muro},
|
|
DOI = {10.1007/b98977},
|
|
URL = {http://dx.doi.org/10.1007/b98977},
|
|
}
|
|
|
|
@book {awodey,
|
|
AUTHOR = {Awodey, Steve},
|
|
TITLE = {Category theory},
|
|
SERIES = {Oxford Logic Guides},
|
|
VOLUME = {52},
|
|
EDITION = {Second},
|
|
PUBLISHER = {Oxford University Press},
|
|
ADDRESS = {Oxford},
|
|
YEAR = {2010},
|
|
PAGES = {xvi+311},
|
|
ISBN = {978-0-19-923718-0},
|
|
MRCLASS = {18-01 (03G30 18A25)},
|
|
MRNUMBER = {2668552 (2011g:18001)},
|
|
}
|
|
|
|
@book {maclane,
|
|
AUTHOR = {Mac Lane, Saunders},
|
|
TITLE = {Categories for the working mathematician},
|
|
SERIES = {Graduate Texts in Mathematics},
|
|
VOLUME = {5},
|
|
EDITION = {Second},
|
|
PUBLISHER = {Springer-Verlag},
|
|
ADDRESS = {New York},
|
|
YEAR = {1998},
|
|
PAGES = {xii+314},
|
|
ISBN = {0-387-98403-8},
|
|
MRCLASS = {18-02},
|
|
MRNUMBER = {1712872 (2001j:18001)},
|
|
}
|
|
|