@article {IOPORT.05356126,
    author       = {Takigawa, Shin-Ya and Maki, Haruo},
    title        = {Every nonempty open set of the digital $n$-space is expressible as the union of finitely many nonempty regular open sets.},
    year         = {2008},
    journal      = {Scientiae Mathematicae Japonicae},
    volume       = {67},
    number       = {3},
    issn         = {1346-0862},
    pages        = {365-376},
    publisher    = {Japanese Association of Mathematical Sciences, Osaka},
    abstract     = {As the title indicates, this paper proves that every nonempty open set of the digital $n$-space (or Khalimsky $n$-dimensional topological space) can be expressed as the union of finitely many nonempty regular open sets. Indeed, motivated by {\it M. Fujimoto, S. Takigawa, J. Dontchev, T. Noiri} and {\it H. Maki} [Kochi J. Math. 1, 31--55 (2006; Zbl 1100.54016)] the current paper formulates useful properties of the $n$-dimensional Khalimsky topological space as a contribution to the study of both digital topology and digital geometry.},
    reviewer     = {Sang-Eon Han (Jeonju-City Jeonbuk)},
    identifier   = {05356126},
}