neighborhood vs partially ordered set

neighborhood

noun
  • A set containing an open set which contains some specified point. 

  • The set of all the vertices adjacent to a given vertex. 

  • The residential area near one's home. 

  • The inhabitants of a residential area. 

  • A formal or informal division of a municipality or region. 

  • A set containing an open ball which contains a specified point. 

  • The infinitesimal open set of all points that may be reached directly from a given point. 

  • An approximate amount. 

  • The quality of physical proximity. 

  • Alternatively: An open ball which contains some specified point. 

  • Alternatively: An open set which contains some specified point. 

partially ordered set

noun
  • A set that has a given, elsewhere specified partial order. 

  • The ordered pair comprising a set and its partial order. 

How often have the words neighborhood and partially ordered set occurred in a corpus of books? (source: Google Ngram Viewer )