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Characterization Of Knot Complements In The 4-Sphere, Vo Thanh Liem, Gerard A. Venema
Characterization Of Knot Complements In The 4-Sphere, Vo Thanh Liem, Gerard A. Venema
University Faculty Publications and Creative Works
Knot complements in S4 are characterized as follows: A connected open set W ⊂ S4 is homeomorphic to the complement of some locally flat 2-sphere in S4 if and only if H1(W) is infinite cyclic, W has one end, and the fundamental group of that end is infinite cyclic. Applications include a characterization of weakly flat 2-spheres in S4 and a complement theorem for 2-spheres in S4.
Some Complex Grassmannian Manifolds That Do Not Fibre Nontrivially, John Ferdinands
Some Complex Grassmannian Manifolds That Do Not Fibre Nontrivially, John Ferdinands
University Faculty Publications and Creative Works
A finite CW complex X is said to be prime if, given a Hurewicz fibration F→E→B with E homotopy equivalent to X, and B and F homotopy equivalent to finite CW complexes, either B or F is contractible. We show that certain 3- and 4-plane complex Grassmanian manifolds are prime. © 1991.