The Fixed Point Index of Fibre-Preserving Maps.
The Fundamental Group of the Complement of a Union of Complex Hyperplanes.
The fundamental group of the complement of a union of complex hyperplanes: correction.
The fundamental groups of subsets of closed surfaces inject into their first shape groups.
The generalized Boardman homomorphisms
This paper provides universal upper bounds for the exponent of the kernel and of the cokernel of the classical Boardman homomorphism b n: π n(X)→H n(H;ℤ), from the cohomotopy groups to the ordinary integral cohomology groups of a spectrum X, and of its various generalizations π n(X)→E n(X), F n(X)→(E∧F)n(X), F n(X)→H n(X;π 0 F) and F n(X)→H n+t(X;π t F) for other cohomology theories E *(−) and F *(−). These upper bounds do not depend on X and are given in terms of the exponents of the stable homotopy...
The Homotopy Groups of an n-Fold Wedge.
The homotopy groups of the L2 -localization of a certain type one finite complex at the prime 3
For the Brown-Peterson spectrum BP at the prime 3, denotes Hazewinkel’s second polynomial generator of . Let denote the Bousfield localization functor with respect to . A typical example of type one finite spectra is the mod 3 Moore spectrum M. In this paper, we determine the homotopy groups for the 8 skeleton X of BP.
The homotopy groups of the L2-localized Mahowald spectrum.
The homotopy Lie algebra for finite complexes
The homotopy type of the space of degree 0 immersed plane curves.
The space Bi0 = Imm0 (S1, R2) / Diff (S1) of all immersions of rotation degree 0 in the plane modulo reparameterizations has homotopy groups π1(Bi0) = Z, π2(Bi0) = Z, and πk(Bi0) = 0 for k ≥ 3.
The Homotype Type of a Combinatorially Aspherical Presentation.
The Hurewicz and Whitehead theorems with compact carriers
The Hurewicz homomorphism and numerical forms
The Kahn-Priddy Theorem and Equivariant Vector Fields on Spheres.
The Kervaire invariant of immersions.
The minimum number of zeros of Lipschitz-Killing curvature.
The nilpotence and periodicity theorems in stable homotopy theory
The Primary v...-periodic Family.
The Signature Defect and the Homotopy of BPL and PL/O
The Smale invariant of a knot.