Throughout this note G denotes a discrete group. A G-complex is a CPP-complex on which G acts by cellular maps such that the fixed point set of any element of G is a subcomplex. On the category ofâ€¦ (More)

By a knot we mean a pair (S, M~) with M~ a smooth closed oriented submanifold of S (m^3). If such a knot is given and i:S-> gm+z j s t j ^ standard embedding, then one can isotope / in an essentiallyâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

1969

A proof is given for the long-standing conjecture of R. L. Wilder that every generalized manifold is locally orientable. Roughly speaking, a generalized n-manifold is a locally compact space whoseâ€¦ (More)

Let S(r) denote the w-sphere with a linear involution having a fixed point set of codimension r, where O ^ r ^ w . We pick some fixed point as a base point and consider the set [S(r); S(t)] of baseâ€¦ (More)

A spectral sequence which may be regarded as an 'Adams spectral sequence over a fixed space 2?' has been constructed by J. F. McClendon [6] and J.-P. Meyer [8]. This note describes a generalizationâ€¦ (More)

1. Statement of the main results. It will be convenient for us to define an n-knot to be a smooth, connected, oriented, n-dimensional (closed) submanifold IP of S (oriented). If X" is homeomorphic toâ€¦ (More)

The results of [4] proved that many exotic spheres do not admit smooth actions of relatively high-dimensional compact Lie groups (all group actions considered in this paper are assumed to beâ€¦ (More)