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The Category Theory Group of Coimbra (Portugal) organized a conference on Category Theory at the Hotel Tivoli Almansor, Carvoeiro (Algarve) during the week beginning on 18 June 2007. This is the first of four issues devoted to that CT2007 conference. The papers have been grouped under four topics. Th topic for this issue is "Topology and Homotopy" and the papers are:
The Orthogonal Subcategory Problem and the Small Object Argument
J. Adámek, M. Hébert, L. Sousa
Understanding the Small Object Argument
R. Garner S-types of Global Towers of Spaces and Exterior Spaces
A. Del Río, L.J. Hernández, M.T. Rivas On Combinatorial Model Categories
J. Rosický
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