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Fall 2002 Midwest Topology Seminar

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November 2, 2002

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DAN ISAKSEN: HOMOTOPICAL STRUCTURES OF ALGEBRAIC VARIETIES

Every space can be built out of spheres in the sense that every
space is weakly equivalent to a CW-complex. I'll describe an

analogous situation for algebraic varieties in the context of A^1-homotopy
theory. In this case, not every object can be built from spheres.
So, which varieties can be built from spheres? And what does that
tell us about these varieties?

*Last modified: October 9, 2002*