most citedThe sectional category of a map

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2 papers

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…