1 citations · 1 across the 2 of their papers we have counts for
4 papers
The cone length and category of maps: pushouts, products and fibrations
Martin Arkowitz, Donald Stanley, Jeffrey Strom
For any collection of spaces A, we investigate two non-negative integer homotopy invariants of maps: l_A(f), the A-cone length of f, and L_A(f), the A-category of f. When A is the…
The sectional category of a map
Martin Arkowitz, Jeffrey Strom
We study a generalization of the Svarc genus of a fiber map. For an arbitrary collection E of spaces and a map f:X-->Y, we define a numerical invariant, the E-sectional category of…
The Lusternik-Schnirelmann Category of Sp(3)
Lucía Fernández-Suárez, Antonio Gómez-Tato, Jeffrey Strom +1
We show that the Lusternik-Schnirelmann category of the symplectic group Sp(3) is 5. This L-S category coincides with the cone length and the stable weak category.
Miller Spaces and Spherical Resolvability of Finite Complexes
Jeffrey Strom
We show that if is a nilpotent finite complex, then can be built from spheres using fibrations and homotopy (inverse) limits. This is applied to show that if ${\mathrm {ma…