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Dimension and ε -translations

Tatsuo Goto (1996)

Commentationes Mathematicae Universitatis Carolinae

Some theorems characterizing the metric and covering dimension of arbitrary subspaces in a Euclidean space will be obtained in terms of ε -translations; some of them were proved in our previous paper [G1] under the additional assumption of the boundedness of subspaces.

Dimension globale et classe fondamentale d'un espace

Youssef Rami (1999)

Annales de l'institut Fourier

L’algèbre de Pontryagin d’un espace K -elliptique vérifie le théorème d’Auslander-Buchsbaum-Serre. Nous donnons ici plusieurs caractérisations des espaces K -elliptiques tels que gldim( H * ( Ω S ; K ) ) < et lorsque ( S , K ) est dans le domaine d’Anick. Nous introduisons aussi une suite spectrale “impaire des xt ” et complétons les résultats obtenus par A. Murillo dans le cas rationnel.

Dimension vs. genus: A surface realization of the little k-cubes and an E operad

Ralph M. Kaufmann (2009)

Banach Center Publications

We define a new E operad based on surfaces with foliations which contains E k suboperads. We construct CW models for these operads and provide applications of these models by giving actions on Hochschild complexes (thus making contact with string topology), by giving explicit cell representatives for the Dyer-Lashof-Cohen operations for the 2-cubes and by constructing new Ω spectra. The underlying novel principle is that we can trade genus in the surface representation vs. the dimension k of the little...

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