Tag Archives: homotopy theory

Courses in Cambridge (MA), Spring 2012

There are a couple interesting courses happening this Spring (2012) in the Boston area.

The Comparison Problem in Higher Category Theory

The history of higher category theory has lead to a wealth of definitions, each built on differing ideas and principles. Until recently there has been very little in the way of machinery to compare them. My ongoing work, joint with Clark Barwick, is changing this.

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The homotopy category doesn’t have all colimits. I just learned a nice explicit example of this phenomenon in Emily Riehl’s class on categorical homotopy theory at Harvard. The example (7.21 in the notes), attributed to Michael Andrews and Markus Hausmann, is for … Continue reading