Vol. 56, No. 2, 1975

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An obstruction to extending isotopies of piecewise linear manifolds

Ewing L. Lusk

Vol. 56 (1975), No. 2, 575–579
Abstract

Let F : M ×In Q×In be an n-isotopy (not necessarily PL) of a compact PL m-manifold M in a PL q-manifold Q, and let G : Q × In Q × In be an ambient isotopy of Q which covers F on Q × ∂In. If m q 3 there is in πn PL(M,Q) an obstruction to finding an ambient isotopy of Q, isotopic to G, which covers F and agrees with G on Q × ∂In.

Mathematical Subject Classification
Primary: 57C40
Milestones
Received: 1 February 1973
Published: 1 February 1975
Authors
Ewing L. Lusk