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4 papers · 2 filters
Homotopical Intersection Theory, I
John R. Klein, E. Bruce Williams
We give a new approach to intersection theory. Our "cycles" are closed manifolds mapping into compact manifolds and our "intersections" are elements of a homotopy group of a certai…
Model structures on pro-categories
Halvard Fausk, Daniel C. Isaksen
We introduce a notion of a filtered model structure and use this notion to produce various model structures on pro-categories. This framework generalizes several known examples. We…
Banach Algebras and Rational Homotopy Theory
Gregory Lupton, N. Christopher Phillips, Claude L. Schochet +1
Let be a unital commutative Banach algebra with maximal ideal space We determine the rational H-type of the group of invertible n by n matrices with coefficient…
On C.T.C. Wall's suspension theorem
Mokhtar Aouina, John R. Klein
Almost forty years ago, C.T.C. Wall systematically analyzed the set of "thickenings" of a finite CW complex. Of the results he obtained, probably the most computationally important…