The Homotopy Category of Spectra.II.
The homotopy dimension of codiscrete subsets of the 2-sphere 𝕊²
Andreas Zastrow conjectured, and Cannon-Conner-Zastrow proved, that filling one hole in the Sierpiński curve with a disk results in a planar Peano continuum that is not homotopy equivalent to a 1-dimensional set. Zastrow's example is the motivation for this paper, where we characterize those planar Peano continua that are homotopy equivalent to 1-dimensional sets. While many planar Peano continua are not homotopy equivalent to 1-dimensional compacta, we prove that each has fundamental group that...
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 rational functions.
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 Idzik type quasivariational inequalities and noncompact optimization problems
The index of discontinuous vector fields.
The integral cohomology algebras of ordered configuration spaces of spheres.
The integral cohomology rings of real infinite-dimensional flag manifolds
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology.
The Kahn-Priddy Theorem and Equivariant Vector Fields on Spheres.
The Kervaire invariant of immersions.
The Krull filtration on the category and cohomology of spaces. (La filtration de Krull de la categorie et la cohomologie des espaces.)
The Künneth Formula in Cyclic Homology.