Showing papers in "Topology in 1982"

TL;DR: Percival et al. as discussed by the authors defined a set of properties of a pair of nodes, where the nodes correspond to the nodes in a graph and the vertices correspond to nodes in the graph.

TL;DR: In this article, it was shown that if the Jordan curve y is also real analytic, in a real analytic manifold, then any minimal surface with boundary y is real analytic up to the boundary.

TL;DR: In this article, it was shown that every 3-dimensional manifold has an Ellery fibered link in S 3 if and only if the commutator subgroup of x,(M -L) is finitely generated or equivalently free.

TL;DR: In this paper, it was shown that the G r o m o v invariants of negatively curved manifolds and their products are positive. But this result was later disproved by Gromov et al.

TL;DR: In this article, the invariant el(G), the fundamental group of an end for a finitely presented group with one end, is computed by taking any finite complex K with fundamental group G and computing eo(/() and, if/( is semistable at infinity, el(/~) if the group is invariant at infinity.

TL;DR: In this article, a generalization of the Conner Conjecture about the cohomological dimension of the orbit spaces has been obtained, viz. that if X is a paracompact Hausdorff space of finite cohomologi- cal dimension and G is a compact Lie group acting on X, then X/G cannot exceed the homomorphic dimension of X.

TL;DR: In this paper, the authors propose a 6tude de la structure qualitative des feuilletages, i.e., points de selle quatre s6paratrices (singularit6s de Morse).

TL;DR: In this paper, the authors studied the problem of whether a generic state of a system does not necessarily give rise to a generic caustic, and they showed that for a fixed position of the source L and a fixed mirror M, a generic wavefront can not be embedded in a submanifold of a point source of light L.

TL;DR: In this paper, it was shown that in the case of codimention-one C-foliation (1 5 r d a), there exists a normal line field on the underlying manifold.

TL;DR: In this article, the homomorphisms in these sequences were given the usual names: E for suspension, H for Hopf invariant, and P for Whitehead product, and the EHP sequences provided a way of calculating the TV, inductive on the sphere dimension n, and on the stem dimension q-n.

TL;DR: In this article, the even dimensional, projective, surgery groups LPn+l(Tr) for all finite groups 7r are computed. But the exact results are not yet available for the 2-hyperelementary subgroups.

TL;DR: Borel and Conner-Conner-Raymond as mentioned in this paper showed that a complete Riemannian n-manifold with everywhere nonpositive sectional curvature has a universal covering that is diffeomorphic to Euclidean n-space.

TL;DR: In this paper, the authors consider the problem of finding the topology of a leaf with non-exponential growth in a closed, orientable n-manifold, C2-foliated by continuously orientable manifolds of dimension n 1.

TL;DR: In this paper, it was shown that all the mirrors we produce are in reality magic mirrors, although we don't intend this, and that the set of such mirrors is very thin in the space of all of them, so that we most likely realise mirrors which belong to the large residual set of magic mirrors.