Editing Zero-dimensional space (section)

{{short description|Topological space of dimension zero}}
{{about|zero dimension in topology|several kinds of zero space in algebra|zero object (algebra)}}
{{General geometry}}

In [[mathematics]], a '''zero-dimensional topological space''' (or '''nildimensional space''') is a [[topological space]] that has dimension zero with respect to one of several inequivalent notions of assigning a [[dimension]] to a given topological space.<ref>{{cite book|url=https://books.google.com/books?id=8aHsCAAAQBAJ&q=zero-dimensional+space+math&pg=PA190|title=Encyclopaedia of Mathematics, Volume 3| first=Michiel|last=Hazewinkel|year=1989|publisher=Kluwer Academic Publishers|page=190|isbn=9789400959941}}</ref> A graphical illustration of a zero-dimensional space is a [[Point (geometry)|point]].<ref>{{cite conference|first1=Luke|last1=Wolcott|first2=Elizabeth|last2=McTernan|title=Imagining Negative-Dimensional Space|pages=637–642|book-title=Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture|year=2012|editor1-first=Robert|editor1-last=Bosch|editor2-first=Douglas|editor2-last=McKenna|editor3-first=Reza|editor3-last=Sarhangi|isbn=978-1-938664-00-7|issn=1099-6702|publisher=Tessellations Publishing|location=Phoenix, Arizona, USA|url=http://bridgesmathart.org/2012/cdrom/proceedings/65/paper_65.pdf|access-date=10 July 2015}}</ref>