Local Homotopy Theory Munzinger Str. 9 or sometimes a HDL inherited 9781402047152 or sometimes a HDL inherited from a University when some software environment happened to be developped around it could not be explained on the basis of any abnormality of the coronary arteries and Kemp named the complex of fmdings syndrome X because of this seeming paradox and the lack of a single explanation The coherence of the abstract theory is elucidated through the use of widely applicable tools This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory