*Definition [#w4a49c3a]
A topological space is called peripherally bicompact or π-bicompact if every point has an neighborhood basis by open sets whose boundary is [[bicompact]].
*Remark [#g8cc3da0]
Here [[bicompact]] means so-called [[compact]].
*Reference [#i4f79714]
P.S. Aleksandrov, ''On some basic directions in general topology'',Russ. Math. Surv. 19:1 (1964).