aposyndetic

apo- +‎ syndetic

aposyndetic (not comparable)

1. (topology) Having the property that for all points x distinct from a specified point p, there is a compact connected neighborhood of p that does not include x.
   • 2016, Paweł Krupski, Alicja Samulewicz, “More absorbers in hyperspaces”, in arXiv‎:

     The families of nondegenerate colocally connected or aposyndetic continua in ${\displaystyle I^{n}}$ and of at least two-dimensional or decomposable Kelley continua are ${\displaystyle F_{\sigma \delta }}$-absorbers in the hyperspace ${\displaystyle C(I^{n})}$ for ${\displaystyle n\geq 3}$.