Bachelor thesis about the Dold-Kan correspondence
https://github.com/Jaxan/Dold-Kan
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160 lines
4.4 KiB
160 lines
4.4 KiB
$p14: 3:
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@article {friedman,
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AUTHOR = {Friedman, Greg},
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TITLE = {Survey article: an elementary illustrated introduction to
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simplicial sets},
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JOURNAL = {Rocky Mountain J. Math.},
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FJOURNAL = {The Rocky Mountain Journal of Mathematics},
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VOLUME = {42},
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YEAR = {2012},
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NUMBER = {2},
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PAGES = {353--423},
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ISSN = {0035-7596},
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CODEN = {RMJMAE},
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MRCLASS = {55U10 (18G30)},
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MRNUMBER = {2915498},
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MRREVIEWER = {Beno\^ {\i}t Fresse},
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DOI = {10.1216/RMJ-2012-42-2-353},
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URL = {http://dx.doi.org/10.1216/RMJ-2012-42-2-353},
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}
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% p2: I: 1-4
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% p198: VII: 5
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% p220: VIII: 1-2
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@book {lamotke,
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AUTHOR = {Lamotke, Klaus},
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TITLE = {Semisimpliziale algebraische {T}opologie},
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SERIES = {Die Grundlehren der mathematischen Wissenschaften, Band 147},
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PUBLISHER = {Springer-Verlag},
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ADDRESS = {Berlin},
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YEAR = {1968},
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PAGES = {viii+285},
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MRCLASS = {55.40},
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MRNUMBER = {0245005 (39 \#6318)},
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MRREVIEWER = {R. Fritsch},
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}
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% p254: 8: 2-4
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@book {weibel,
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AUTHOR = {Weibel, Charles A.},
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TITLE = {An introduction to homological algebra},
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SERIES = {Cambridge Studies in Advanced Mathematics},
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VOLUME = {38},
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PUBLISHER = {Cambridge University Press},
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ADDRESS = {Cambridge},
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YEAR = {1994},
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PAGES = {xiv+450},
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ISBN = {0-521-43500-5; 0-521-55987-1},
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MRCLASS = {18-01 (16-01 17-01 20-01 55Uxx)},
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MRNUMBER = {1269324 (95f:18001)},
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MRREVIEWER = {Kenneth A. Brown},
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}
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@article {kan,
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AUTHOR = {Kan, Daniel M.},
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TITLE = {Functors involving c.s.s. complexes},
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JOURNAL = {Trans. Amer. Math. Soc.},
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FJOURNAL = {Transactions of the American Mathematical Society},
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VOLUME = {87},
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YEAR = {1958},
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PAGES = {330--346},
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ISSN = {0002-9947},
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MRCLASS = {55.25},
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MRNUMBER = {0131873 (24 \#A1720)},
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MRREVIEWER = {D. Puppe},
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}
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@article {dold,
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AUTHOR = {Dold, Albrecht},
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TITLE = {Homology of symmetric products and other functors of complexes},
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JOURNAL = {Ann. of Math. (2)},
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FJOURNAL = {Annals of Mathematics. Second Series},
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VOLUME = {68},
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YEAR = {1958},
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PAGES = {54--80},
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ISSN = {0003-486X},
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MRCLASS = {55.00},
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MRNUMBER = {0097057 (20 \#3537)},
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MRREVIEWER = {Sze-tsen Hu},
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}
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% theorem 4.1
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@article {eilenberg,
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AUTHOR = {Eilenberg, Samuel and Mac Lane, Saunders},
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TITLE = {On the groups of {$H(\Pi,n)$}. {I}},
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JOURNAL = {Ann. of Math. (2)},
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FJOURNAL = {Annals of Mathematics. Second Series},
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VOLUME = {58},
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YEAR = {1953},
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PAGES = {55--106},
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ISSN = {0003-486X},
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MRCLASS = {56.0X},
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MRNUMBER = {0056295 (15,54b)},
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MRREVIEWER = {P. J. Hilton},
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}
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%p303: 5.5
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@book {rotman,
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AUTHOR = {Rotman, Joseph J.},
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TITLE = {An introduction to homological algebra},
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SERIES = {Universitext},
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EDITION = {Second},
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PUBLISHER = {Springer},
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ADDRESS = {New York},
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YEAR = {2009},
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PAGES = {xiv+709},
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ISBN = {978-0-387-24527-0},
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MRCLASS = {18Gxx (13Dxx 16Exx 18-01 20J06)},
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MRNUMBER = {2455920 (2009i:18011)},
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MRREVIEWER = {Fernando Muro},
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DOI = {10.1007/b98977},
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URL = {http://dx.doi.org/10.1007/b98977},
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}
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@book {awodey,
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AUTHOR = {Awodey, Steve},
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TITLE = {Category theory},
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SERIES = {Oxford Logic Guides},
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VOLUME = {52},
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EDITION = {Second},
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PUBLISHER = {Oxford University Press},
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ADDRESS = {Oxford},
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YEAR = {2010},
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PAGES = {xvi+311},
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ISBN = {978-0-19-923718-0},
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MRCLASS = {18-01 (03G30 18A25)},
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MRNUMBER = {2668552 (2011g:18001)},
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}
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@book {maclane,
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AUTHOR = {Mac Lane, Saunders},
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TITLE = {Categories for the working mathematician},
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SERIES = {Graduate Texts in Mathematics},
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VOLUME = {5},
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EDITION = {Second},
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PUBLISHER = {Springer-Verlag},
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ADDRESS = {New York},
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YEAR = {1998},
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PAGES = {xii+314},
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ISBN = {0-387-98403-8},
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MRCLASS = {18-02},
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MRNUMBER = {1712872 (2001j:18001)},
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}
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% For naming the unnormalized chain complex
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@book {goerss,
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AUTHOR = {Goerss, Paul G. and Jardine, John F.},
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TITLE = {Simplicial homotopy theory},
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SERIES = {Progress in Mathematics},
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VOLUME = {174},
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PUBLISHER = {Birkh\"auser Verlag},
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ADDRESS = {Basel},
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YEAR = {1999},
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PAGES = {xvi+510},
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ISBN = {3-7643-6064-X},
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MRCLASS = {55U10 (18G55 55-01 55Pxx)},
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MRNUMBER = {1711612 (2001d:55012)},
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MRREVIEWER = {R. M. Vogt},
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DOI = {10.1007/978-3-0348-8707-6},
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URL = {http://dx.doi.org/10.1007/978-3-0348-8707-6},
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}
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