This article is part of the Groupprops Manual of Style
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The use of categories is a powerful tool for organization of material within Groupprops. Important kinds of categories are given below. Please note that for most articles, we do not favour direct inclusion in the category, but rather, we favour the use of an article-tagging template.
- Property categories: These categories comprise important elements of a property space
- Metaproperty categories: These categories comprise properties over a property space.
- Property operator categories: These categories comprise property operators from one fixed property space to itself or to another property space.
- Special element categories: These categories comprise special elements from a known collection of objects (for instance, some particular groups)
- Implication categories: These are categories which contain facts of the form A implies B where both A and B are elements of the same property space.
Categorization by area
For each theme that is being developed in groupprops, two categories are created for it,
- Terminology related to that theme: Check out Category: Theme-related terminology for a complete listing on theme-related terminology categories.
- Facts related to that theme: Check out Category: Theme-related facts for a complete listing of theme-related fact categories.
Categorization by standardness/use/source
Important categories from this viewpoint are:
- Category: Standard terminology: This is terminology well-known and well-used by people dealing with group theory, including both those working in the area and those working outside it.
- Category: Semistandard terminology: This is terminology used by people working within a particular area or segment of group theory, but which may not be known to people in other areas. For a term to be classified under semistandard terminology, it must have appeared in some journal publication or in the transcripts of a conference/seminar.
- Category: Nonstandard terminology: This terminology may have been used and introduced locally and is being used in groupprops for convenience.
- Category: Terminology local to the wiki: This terminology has been introduced expressly for the purpose of the wiki.