In a recent paper by D. Shakhmatov and J. Spěvák [Group-valued continuous functions with the topology of pointwise convergence, Topology and its Applications (2009), doi:10.1016/j.topol.2009.06.022] the concept of a TAP group is introduced and it is shown in particular that the NSS groups are TAP. We prove that conversely, the Weil complete metrizable TAP groups are NSS. We define also the narr...
