In the US we don't really have anything that fits the definition except neighborhood. State, county, city and other municipalities and that's about it. Things like city, municipality, village, etc are all at that same level with a distinction in their populations and the way they are legally incorporated. But it doesn't go any lower than that, I don't think.
That's my point. A neighborhood can be used to refer to a subdivision because a neighborhood is not a concretely defined thing. It can be the houses and families that are on my street and culdesac or it might be extended to include the homes that are near mine on a bordering street if I know and socialize with the people who live there. Neighborhood means very different things to each person and generally is based on a sense of community and society not on specific borders. In New York city, for example, the "neighborhoods" of the boroughs are neither fixed nor defined. http://en.wikipedia.org/wiki/Neighborhoods_in_New_York_City Also, a subdivision is at its heart just a large plot of land that has been subdivided by a realestate company for the purposes of development and sale. It's not a geographic unit recognized by any government. A subdivision's borders are only recognizible by the similarity of the homes that make it up. Some subdivisions are also housing estates but not all subdivisions are housing estates. Housing estates have rules and regulations about what color you can paint your home, where you can park your cars, how late you can have parties, etc. But they are not governmental divisions either. The only right that they have to enforce these rules is based on the contract the tenant or home owner signs when they buy or rent.