Tip: To gather records for later use, such as citation listing, click an item's Add to My Collection + icon. Click My Collection at any time to see your accumulated records. My Collection lasts for the duration of your browser session.
Baues H, Bleile B. Self-maps of the product of two spheres fixing the diagonal. 2011.
Please use this identifier to cite or link to this item: http://e-publications.une.edu.au/1959.11/8392
Self-maps of the product of two spheres fixing the diagonal
We compute the monoid of essential self-maps of SⁿxSⁿ fixing the diagonal. More generally, we consider products SxS, where S is a suspension. Essential self-maps of SxS demonstrate the interplay between the pinching action for a mapping cone and the fundamental action on homotopy classes under a space. We compute examples with non-trivial fundamental actions.