Model structures on the category of small double categories

Algebraic Geometric Topology

Fiore, Thomas M²  Paoli, Simona³  Pronk, Dorette¹ 

[1] Chase Building, Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5, CanadaChase Building, Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5, CanadaChase Building, Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5, Canada;Department of Mathematics, University of Chicago, 5734 South University, Chicago, IL 60637, USA, and Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), SpainDepartment of Mathematics, University of Chicago, 5734 South University, Chicago, IL 60637, USA, and Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), SpainDepartment of Mathematics, University of Chicago, 5734 South University, Chicago, IL 60637, USA, and Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain;Department of Mathematics, Macquarie University, NSW 2109, AustraliaDepartment of Mathematics, Macquarie University, NSW 2109, AustraliaDepartment of Mathematics, Macquarie University, NSW 2109, Australia

关键词: categorification;    colimit;    double category;    fundamental category;    fundamental double category;    horizontal categorification;    internal category;    model structure;    transfer of model structure;    $2$–category;    $2$–monad;   

DOI  :  10.2140/agt.2008.8.1855

来源: Mathematical Sciences Publishers-MSP

【 授权许可】

Unknown