nLab Philippe Gaucher

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Selected writings

On $\Delta$-generated and compactly generated topological spaces:

• Philippe Gaucher, Section 2 of: Homotopical interpretation of globular complex by multipointed d-space, Theory and Applications of Categories, vol. 22, number 22, 588-621, 2009 (arXiv:0710.3553)

On model structures on topological spaces and the notion of $\Delta$-Hausdorff $\Delta$-generated space (a natural separation condition for $\Delta$-generated spaces):

• Philippe Gaucher, Section 2 and Appendix B of: Left properness of flows, Theory and Applications of Categories, 37 19 (2021) 562-612 (arXiv:1907.01454, TAC:37-19)

On directed homotopy theory and higher dimensional transition systems:

• Philippe Gaucher, Directed algebraic topology and higher dimensional transition system, New-York Journal of Mathematics 16 (2010), 409 - 461 (arxiv:0903.4276)

• Philippe Gaucher, Towards a homotopy theory of higher dimensional transition systems, Theory and Applications of Categories, Vol. 25, No. 12, 2011, pp. 295–341 (arxiv:1011.0918)

On left-determined model categories:

• Philippe Gaucher, Left determined model categories, New York Journal of Mathematics 21 (2015), 1093-1115 (nyjm:j/2015/21-50, arXiv:1507.02128)

Related $n$Lab pages

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