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SPEAKER: Mr. Keith Penrod

TITLE: Big homotopy groups - 2

ABSTRACT:  We push the boundaries of possibility for algebraic topology by extending the notion of homotopy theory to any compact, connected linear set, rather than simply using the real interval.  The notion of "big fundamental group" was introduced by Jim Cannon and Greg Conner.  We explain this definition and explore some possibilities for expanding from there, including defining the analog for higher homotopy groups.