Topospaces:Terminology local to the wiki

This article is about the highly debatable terminology local to the wiki. As of now, there are 86 articles explicitly marked as terminology local to this wiki, and there are many more that have not been tagged.

Terminology based on the property-theoretic paradigm
A lot of the terminology associated with topological spaces is local to the wiki. More generally, a lot of terminology for properties is local to the wiki.

There are many reasons for this terminology:


 * The terminology helps in stating many results concisely, and is ualso used for a lot of categorization within the wiki. It makes searching for facts and looking up proofs easier.
 * The terminology is usually reasonably predictable in the sense that the definition of the term suggests its meaning. At any rate, for most of the terms the term name seems appropriate given the meaning.
 * In many cases, a similar term has been used in a similar context by somebody else.

Terminology which the authors didn't name
Some terminology local to the wiki is terminology that the authors didn't give a name, because they defined the concept and used a symbol for it all along. In this case, we have come up with a name at the wiki that may involve the name of the author, or the overall concept, or a combination of these. The aim of such terminology is simply as a handle.

Figuring out whether terminology is local to the wiki
For terminology local to the wiki, we use the wikilocal template, which prints the following text on top:

''This term is nonstandard and is being used locally within the wiki. For its use outside the wiki, please define the term when using it.''

and also categorizes the term in Category:Terminology local to the wiki.

However, not all wiki-local terminology has been categorized in this manner, so you should view with suspicion any terminology that:


 * Is not marked as a basic definition, semibasic definition, standard definition, or semistandard definition
 * Does not have suitable references or external links
 * Lacks information about its origin or history

For terminology that has been named in the wiki after the author (though it is not referenced in this manner in the literature), we use Template:Wikilocal authorname-attribution, which prints the following text at the beginning:

''The statement given in this article has been named, in this wiki, after the original authors of the statement. This attribution, however, may not be a standard one and the statement may thus not be recognizable from the name given here''