226 citations
- Michigan State UniversityUS4 papers
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- Center for Astrophysics Harvard & SmithsonianUS2 papers
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Showing 2004 · math.ATShow all
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math.AT2004
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…
math.AT2004★ 1 cited
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…