@article{Buzyakova_2021, title={A glance into the anatomy of monotonic maps}, volume={22}, url={http://ojs.upv.es/index.php/AGT/article/view/12291}, DOI={10.4995/agt.2021.12291}, abstractNote={<p>Given an autohomeomorphism on an ordered topological space or its subspace, we show that it is sometimes possible to introduce a new topology-compatible order on that space so that the same map is monotonic with respect to the new ordering. We note that the existence of such a re-ordering for a given map is equivalent to the map being conjugate (topologically equivalent) to a monotonic map on some homeomorphic ordered space. We observe that the latter cannot always be chosen to be order-isomorphic to the original space. Also, we identify other routes that may lead to similar affirmative statements for other classes of spaces and maps.</p>}, number={1}, journal={Applied General Topology}, author={Buzyakova, Raushan}, year={2021}, month={Apr.}, pages={1–10} }