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Let R be a subring ring of Q. We reserve the symbol p for the least prime which is not a unit in R; if R ⊒Q, then p=∞. Denote by DGL nnp, n≥1, the category of (n-1)-connected np-dimensional differential graded free Lie algebras over R. In [1] D. Anick has shown that there is a reasonable concept of homotopy in the category DGL nnp. In this work we intend to answer the following two questions: Given an object (L(V), ϖ) in DGL n3n+2 and denote by S(L(V), ϖ) the class of objects homotopy equivalent...

On the rational homotopy Lie algebra of spaces with finite dimensional rational cohomology and homotopy

Martin Markl (1989)

Annales de l'institut Fourier

The problem of the characterization of graded Lie algebras which admit a realization as the homotopy Lie algebra of a space of type $F$ is discussed. The central results are formulated in terms of varieties of structure constants, several criterions for concrete algebras are also deduced.

Products between homotopy groups

I. M. James (1971)

Compositio Mathematica

Rationale Homotopietypen.

Hans Joachim Baues (1977)

Manuscripta mathematica

Reguläre idempotente Multiplikationen.

Karl Strambach (1975)

Mathematische Zeitschrift

Relationen für primäre Homotopieoperationen und eine verallgemeinerte EHP-Sequenz

Hans Joachim Baues (1975)

Annales scientifiques de l'École Normale Supérieure

Relative Homotopiegruppen bei Abbildungskegeln

Hans Joachim Baues (1976)

Compositio Mathematica

Some homotopy theoretical questions arising in Nielsen coincidence theory

Ulrich Koschorke (2009)

Banach Center Publications

Basic examples show that coincidence theory is intimately related to central subjects of differential topology and homotopy theory such as Kervaire invariants and divisibility properties of Whitehead products and of Hopf invariants. We recall some recent results and ask a few questions which seem to be important for a more comprehensive understanding.

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Maps and Equivalences into Equalizing Fibrations and from Coequalizing Cofibrations.

Mod p Decompositions of co-H-Spaces and Applications.

Note on Nilpotent Spaces and Localization.

On links with one codimension two compontent.

On the homotopy type of a chain algebra.

On the homotopy type of (n-1)-connected (3n+1)-dimensional free chain Lie algebra