Flow Does Not Model Flows up to Weak Dihomotopy (9 Transparencies) Talk given the 4th of May 2004, Paris
نویسندگان
چکیده
We prove that the category of flows cannot be the underlying category of a model category whose corresponding homotopy types are the flows up to weak dihomotopy. Some hints are given to overcome this problem. In particular, a new approach of dihomotopy involving simplicial presheaves over an appropriate small category is proposed. This small category is obtained by taking a full subcategory of a locally presentable version of the category of flows. 1991 Mathematics Subject Classification. 55P99, 68Q85.
منابع مشابه
Flow does not Model Flows up to Weak Dihomotopy
We prove that the category of flows cannot be the underlying category of a model category whose corresponding homotopy types are the flows up to weak dihomotopy. Some hints are given to overcome this problem. In particular, a new approach of dihomotopy involving simplicial presheaves over an appropriate small category is proposed. This small category is obtained by taking a full subcategory of ...
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