The Group of Homotopy Self-equivalences Inducing the Identity on the Homotopy Groups of an F0F_{0}-Space is Finite

Let $X$ be an $F_{0}$-space and let $\mathcal{E}_{\#}(X)$ the subgroup of homotopy classes of homotopy self-equivalences of $X$ inducing the identity on $\pi_*(X)$. The aim of this paper is to prove that $\mathcal{E}_{\#}(X)$ is finite

The effect of cell-attachment on the group of self-equivalences of an R-localized space

Let R be a subring of the rationals with least non-invertible prime p. Let X = X^{n} \cup_{\alpha} (\bigcup_{j \in J} e^{q}) be a cell attachment with J finite and q small with respect to p. Let E(X_R) denote the group of homotopy self-equivalences of the R-localization X_R. We use DG Lie models to construct a short exact sequence 0 \to \bigoplus_{j \in J}\pi_q(X^n)_R \to E(X_R) \to C^q \to 0 where C^q is a subgroup of GL_{|J|}(R) \times E(X^n_R). We obtain a related result for the R-localization of the nilpotent group E_*(X) of classes inducing the identity on homology. We deduce some explicit calculations of both groups for spaces with few cells.Comment: 13 page

Estimated hedonic wage function and value of life in an African country

This paper reports the first study of compensating wage differentials for work-related fatalities in an African country. Using original data from the 2002 Tunisian Caisse nationale de la sécurité sociale, statistically significant compensating wage differentials are found. The implied value of life is $643800 (US$ 2000).Compensating wage differentials; Value of life

On the classification problem of the quasi-isomorphism classes of 1-connected minimal free cochain algebras

AbstractThe purpose of this paper is to classify the quasi-isomorphism classes of 1-connected minimal free cochain algebras over a commutative ring. Our tool to address this problem is a “certain” long sequence, called the Whitehead exact sequence, which we construct for every such algebra. We introduce the notion of coherent isomorphisms between these exact sequences and we show that two 1-connected minimal free cochain algebras are quasi-isomorphic if and only if their respective Whitehead exact sequences are coherently isomorphic