Perspectives on A-homotopy theory and its applications

@article{simplicial_complex_topology, abstract = {This paper contains a survey of the A-theory of simplicial complexes and graphs, a combinatorial homotopy theory developed recently. The initial motivation arises from the use of simplicial complexes as models for a variety of complex systems and their dynamics. This theory diverges from classical homotopy theory in several crucial aspects. It is related to prior work in matroid theory, graph theory, and work on subspace arrangements.}, author = {Barcelo, H\'{e}l\`{e}ne and Laubenbacher, Reinhard }, booktitle = {Formal Power Series and Algebraic Combinatorics 2002 (FPSAC'02)}, citeulike-article-id = {2688126}, doi = {http://dx.doi.org/10.1016/j.disc.2004.03.016}, journal = {Discrete Mathematics}, keywords = {complex, simplicial, topology}, month = {August}, number = {1-3}, pages = {39--61}, posted-at = {2008-04-18 15:55:57}, priority = {5}, title = {Perspectives on A-homotopy theory and its applications}, url = {http://dx.doi.org/10.1016/j.disc.2004.03.016}, volume = {298}, year = {2005} }

TY - JOUR ID - simplicial_complex_topology L3 - citeulike-article-id:2688126 TI - Perspectives on A-homotopy theory and its applications T2 - Formal Power Series and Algebraic Combinatorics 2002 (FPSAC'02) JF - Discrete Mathematics VL - 298 IS - 1-3 SP - 39 EP - 61 N2 - This paper contains a survey of the A-theory of simplicial complexes and graphs, a combinatorial homotopy theory developed recently. The initial motivation arises from the use of simplicial complexes as models for a variety of complex systems and their dynamics. This theory diverges from classical homotopy theory in several crucial aspects. It is related to prior work in matroid theory, graph theory, and work on subspace arrangements. KW - complex KW - simplicial KW - topology AU - Barcelo, Hélène AU - Laubenbacher, Reinhard PY - 2005/08/06/ UR - http://dx.doi.org/10.1016/j.disc.2004.03.016 ER -