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@misc{BF14,
	Author = {Bernini, A. and Ferrari, L.},
	Date-Modified = {2017-05-15 06:11:23 +0000},
	Note = {To apper in {\em Ann. Combin.}},
	Title = {Vincular pattern posets and the {M}\" obius function of the quasi-consecutive pattern poset}}

@article{Bac14,
	Author = {Bacher, A. and Bernini, A. and Ferrari, L. and Gunby, B. and Pinzani, R. and West, J.},
	Date-Modified = {2017-05-15 06:10:02 +0000},
	Doi = {10.1016/j.disc.2013.12.011 },
	Journal = {Discrete Math.},
	Pages = {12--23},
	Title = {The {D}yck pattern poset},
	Volume = {321},
	Year = {2014}}

@article{BFS11,
	Author = {Bernini, A. and Ferrari, L. and Steingr{\'\i}msson, E.},
	Date-Modified = {2017-05-15 06:12:24 +0000},
	Journal = {Electron. J. Combin.},
	Number = {1},
	Pages = {Art. \#P146},
	Title = {The {M}{\"o}bius function of the consecutive pattern poset},
	Url = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v18i1p146},
	Volume = {18},
	Year = {2011}}

@article{BJJS11,
	Author = {Burstein, A. and Jel{\'{\i}}nek, V. and Jel{\'{\i}}nkov{\'a}, E. and Steingr{\'{\i}}msson, E.},
	Date-Modified = {2017-05-15 06:22:20 +0000},
	Doi = {10.1016/j.jcta.2011.06.002 },
	Journal = {J. Combin. Theory Ser. A},
	Pages = {2346--2364},
	Title = {The {M}\"obius function of separable and decomposable permutations},
	Volume = {118},
	Year = {2011}}

@incollection{Bjo90,
	Author = {Bj{\"o}rner, A.},
	Booktitle = {Invariant Theory and Tableaux},
	Date-Modified = {2017-05-15 06:17:41 +0000},
	Pages = {118--124},
	Publisher = {Springer-Verlag},
	Series = {IMA Volumes in Math. Appl., Vol. 19},
	Title = {The {M}{\"o}bius function of subword order},
	Year = {1990}}

@article{Bjo93,
	Author = {Bj{\"o}rner, A.},
	Date-Modified = {2017-05-15 06:13:10 +0000},
	Doi = {10.1016/0304-3975(93)90305-d },
	Journal = {Theoret. Comput. Sci.},
	Pages = {91--98},
	Title = {The {M}{\"o}bius function of factor order},
	Volume = {117},
	Year = {1993}}

@article{Bjo05,
	Author = {Bj{\"o}rner, A. and Wachs, M. and Welker, V.},
	Date-Modified = {2017-05-15 06:20:30 +0000},
	Doi = {10.1090/s0002-9947-04-03496-8 },
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {1877--1899},
	Title = {Poset fiber theorems},
	Volume = {357},
	Year = {2005}}

@misc{EM15,
	Author = {Elizalde, S. and McNamara, P. R. W.},
	Date-Modified = {2017-05-15 06:23:01 +0000},
	Eprint = {1508.05963},
	Eprinttype = {arxiv},
	Title = {The structure of the consecutive pattern poset},
	Year = {2015}}

@book{Kit11,
	Author = {Kitaev, S.},
	Date-Modified = {2017-05-15 06:30:17 +0000},
	Doi = {10.1007/978-3-642-17333-2 },
	Publisher = {Springer},
	Series = {Monographs in Theoretical Computer Science},
	Title = {Patterns in Permutations and Words},
	Year = {2011}}

@article{McnSag12,
	Author = {McNamara, P. R. W. and Sagan, B. E.},
	Date-Modified = {2017-05-15 06:24:11 +0000},
	Doi = {10.1016/j.aim.2012.01.019 },
	Journal = {Adv. Math.},
	Pages = {2741--2766},
	Title = {The {M}{\"o}bius function of generalized subword order},
	Volume = {229},
	Year = {2012}}

@article{McSt13,
	Author = {McNamara, P. R. W. and Steingr{\'\i}msson, E.},
	Date-Modified = {2017-05-15 06:24:42 +0000},
	Doi = {10.1016/j.jcta.2015.02.009 },
	Journal = {J. Combin. Theory Ser. A},
	Pages = {1--35},
	Title = {On the topology of the permutation pattern poset},
	Volume = {134},
	Year = {2015}}

@article{Qui78,
	Author = {Quillen, D.},
	Date-Modified = {2017-05-15 06:25:21 +0000},
	Doi = {10.1016/0001-8708(78)90058-0 },
	Journal = {Adv. Math.},
	Pages = {101--128},
	Title = {Homotopy properties of the poset of nontrivial {$p$}-subgroups of a group},
	Volume = {28},
	Year = {1978}}

@article{Smith13,
	Author = {Smith, J. P.},
	Date-Modified = {2017-05-15 06:28:07 +0000},
	Journal = {Electron. J. Combin.},
	Number = {2},
	Pages = {Art. \#P2.11},
	Title = {On the M{\"o}bius function of permutations with one descent},
	Url = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i2p11},
	Volume = {21},
	Year = {2014}}

@article{Smith14,
	Author = {J. P. Smith},
	Date-Modified = {2017-05-15 06:26:54 +0000},
	Doi = {10.1016/j.disc.2015.08.004 },
	Journal = {Discrete Math.},
	Pages = {118--126},
	Title = {Intervals of permutations with a fixed number of descents are shellable},
	Volume = {339},
	Year = {2016}}

@misc{Smith15,
	Author = {Smith, J. P.},
	Date-Modified = {2017-05-15 06:26:18 +0000},
	Eprint = {1506.04406},
	Eprinttype = {arxiv},
	Title = {A formula for the {M}\"obius function of the permutation poset based on a topological decomposition},
	Year = {2015}}

@misc{Smith16,
	Author = {Smith, J. P.},
	Date-Modified = {2017-05-15 06:27:13 +0000},
	Note = {In preparation},
	Title = {On the {M}\"obius function and topology of general pattern posets},
	Year = {2017}}

@article{SagVat06,
	Author = {Sagan, B. E. and Vatter, V.},
	Date-Modified = {2017-05-15 06:25:49 +0000},
	Doi = {10.1007/s10801-006-0017-4 },
	Journal = {J. Algebraic Combin.},
	Pages = {117--136},
	Title = {The {M}\"obius function of a composition poset},
	Volume = {24},
	Year = {2006}}

@incollection{Wac07,
	Author = {Wachs, M.},
	Booktitle = {Geometric Combinatorics},
	Date-Modified = {2017-05-15 06:28:48 +0000},
	Pages = {497--615},
	Publisher = {Amer. Math. Soc.},
	Series = {IAS/Park City Math. Ser., Vol. 13},
	Title = {Poset topology: {T}ools and applications},
	Year = {2007}}

@article{Wal81,
	Author = {Walker, J. W.},
	Date-Modified = {2017-05-15 06:29:25 +0000},
	Doi = {10.1016/s0195-6698(81)80045-5 },
	Journal = {European J. Combin.},
	Pages = {373--384},
	Title = {Homotopy type and {E}uler characteristic of partially ordered sets},
	Volume = {2},
	Year = {1981}}