Higher forms of homotopy commutativity and finite loop spaces
β Scribed by C. A. McGibbon
- Publisher
- Springer-Verlag
- Year
- 1989
- Tongue
- French
- Weight
- 583 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
We study the two primary families of spaces of finite element differential forms with respect to a simplicial mesh in any number of space dimensions. These spaces are generalizations of the classical finite element spaces for vector fields, frequently referred to as Raviart-Thomas, Brezzi-Douglas-Ma
We use the Eilenberg-Moore spectral sequence to study torsion phenomena in the integral cohomology of finite loop spaces with maximal torus generalizing some results for compact Lie groups due to Kac.
Numerical di erentiation formulas based on interpolating polynomials, operators and lozenge diagrams can be simpliΓΏed to one of the ΓΏnite di erence approximations based on Taylor series. In this paper, we have presented closed-form expressions of these approximations of arbitrary order for ΓΏrst and