The purpose of this article is to highlight two significant results related to odd torsion in the homotopy theory of spheres and Moore spaces which has come out of the work of Cohen, Moore, and Neisendorfer and to survey those parts of the proof related to the existence and properties of certain fibrations. This article is designed as a supplement to the author's two other surveys (LN 788 and LN 842) and as a guide to the original papers (see references to the three authors) including some modification of their point of view. This is an expanded version of a lecture given at "Workshop on Algebraic Topology " held at the Universitat Autonoma de Barcelona, Spain in March 1982- During this period of 1982 the.author wa
AbstractThis paper identifies a class of homology n-spheres that are codimension-(n+1) shape msimpl-...
We give a refinement of the stable Snaith splitting of the double loop space of a Moore space and us...
Abstract. Cohen, Moore, and Neisendorfer’s work on the odd primary homotopy theory of spheres and Mo...
Let p be an odd prime. The least nontrivial p-torsion homotopy group of S^{3} occurs in dimension 2p...
This thesis studies the limiting behaviour of the torsion in the homotopy groups πn(X) of a space X ...
We construct a finite 1-connected CW complex X such that H-* (OmegaX; Z) has p-torsion for the infin...
AbstractWe determine the modp K-theory localizations and v1-periodic homotopy groups of finite H-spa...
In this thesis, we study the fibre of the $p^\text{th}$ power map on loop spaces of spheres with a v...
In this thesis, we study the fibre of the $p^\text{th}$ power map on loop spaces of spheres with a v...
Cohen, Moore, and Neisendorfer’s work on the odd primary homotopy theory of spheres and Moore spaces...
AbstractThis paper addresses two problems in the skein theory of homotopy spheres first posed by P. ...
In the context of categories equipped with a structure of nullhomotopies, we introduce the notion of...
Combings of oriented compact 3-manifolds are homotopy classes of nowhere zero vector fields in these...
Using integral methods we recover and generalize some results by F\'{e}lix, Halperin and Thomas on t...
We give a refinement of the stable Snaith splitting of the double loop space of a Moore space and us...
AbstractThis paper identifies a class of homology n-spheres that are codimension-(n+1) shape msimpl-...
We give a refinement of the stable Snaith splitting of the double loop space of a Moore space and us...
Abstract. Cohen, Moore, and Neisendorfer’s work on the odd primary homotopy theory of spheres and Mo...
Let p be an odd prime. The least nontrivial p-torsion homotopy group of S^{3} occurs in dimension 2p...
This thesis studies the limiting behaviour of the torsion in the homotopy groups πn(X) of a space X ...
We construct a finite 1-connected CW complex X such that H-* (OmegaX; Z) has p-torsion for the infin...
AbstractWe determine the modp K-theory localizations and v1-periodic homotopy groups of finite H-spa...
In this thesis, we study the fibre of the $p^\text{th}$ power map on loop spaces of spheres with a v...
In this thesis, we study the fibre of the $p^\text{th}$ power map on loop spaces of spheres with a v...
Cohen, Moore, and Neisendorfer’s work on the odd primary homotopy theory of spheres and Moore spaces...
AbstractThis paper addresses two problems in the skein theory of homotopy spheres first posed by P. ...
In the context of categories equipped with a structure of nullhomotopies, we introduce the notion of...
Combings of oriented compact 3-manifolds are homotopy classes of nowhere zero vector fields in these...
Using integral methods we recover and generalize some results by F\'{e}lix, Halperin and Thomas on t...
We give a refinement of the stable Snaith splitting of the double loop space of a Moore space and us...
AbstractThis paper identifies a class of homology n-spheres that are codimension-(n+1) shape msimpl-...
We give a refinement of the stable Snaith splitting of the double loop space of a Moore space and us...
Abstract. Cohen, Moore, and Neisendorfer’s work on the odd primary homotopy theory of spheres and Mo...