Costoya, CristinaMuñoz, VicenteViruel, Antonio2024-02-162023-05C. Costoya, V. Muñoz, and A. Viruel, "On Strongly Inflexible Manifolds", International Mathematics Research Notices, Vol. 2023, Issue 9, pp. 7355–7390, May 2023. https://doi.org/10.1093/imrn/rnac064http://hdl.handle.net/2183/35641This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record [C. Costoya, V. Muñoz, and A. Viruel, "On Strongly Inflexible Manifolds", International Mathematics Research Notices, Vol. 2023, Issue 9, pp. 7355–7390, May 2023. https://doi.org/10.1093/imrn/rnac064] is available online at: https://doi.org/10.1093/imrn/rnac064.[Abstract]: An oriented closed connected -manifold is inflexible if it does not admit self-maps of unbounded degree. In addition, if all the maps from any other oriented closed connected -manifold have bounded degree, then is said to be strongly inflexible. The existence of simply-connected inflexible manifolds was established by Arkowitz and Lupton. However, the existence of simply-connected strongly inflexible manifolds is still an open question. We provide an algorithm relying on Sullivan models that allows us to prove that all, but one, of the known examples of simply-connected inflexible manifolds are not strongly inflexible.engCopyright © 2022, © The Author(s) 2022.Topological ComplexityHomotopyGauge GroupManifoldsjournal articleopen access10.1093/imrn/rnac064