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On mapping cones of suspension elements of finite order in the homotopy groups of a wedge of spheres

On mapping cones of suspension elements of finite order in the homotopy groups of a wedge of spheres

The genus of the mapping cone <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Subscript f"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>C</mml:mi> <mml:mi>f</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{C_f}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of a map <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f colon upper S Superscript m minus 1 Baseline right-arrow logical-or upper S Superscript n Baseline …