  Magnetic skyrmions (or vortices) are spatially inhomogeneous spin textures
localized in nanoscale cylindrical regions. Topological protection and small
size make skyrmions especially attractive for the study of spin topology and
technologies wherein information is carried by the electron spin further to, or
instead of the electron charge. Despite achievements in the synthesis of
materials where axisymmetric magnetic skyrmions can be stabilized and
characterized, there is disproportionate progress in elucidating the basic
properties. The Perspective aims to bridge this gap and deliver an intelligible
guide on the physical principles governing these magnetic whirls.
