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Showing 2004 · math.ATShow all
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math.AT2004★ 1 cited
Implications of the Ganea Condition
Norio Iwase, Donald Stanley, Jeffrey Strom
Suppose the spaces X and X cross A have the same Lusternik-Schnirelmann category: cat(X cross A)= cat(X). Then there is a strict inequality cat(X cross (A halfsmash B)) < cat (X) +…
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…