NOUN
  • Definition - A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
  • Example - I wouldn't put this book in the same category as the author's first novel.
  • Definition - A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative.
  • Example - Just as a monoid consists of an underlying set with a binary operation "on top of it" which is closed, associative and with an identity, a category consists of an underlying digraph with an arrow composition operation "on top of it" which is transitively closed, associative, and with an identity at each object. In fact, a category's composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid.
Words in your word
10 Letter Words
categories 13 categorise 13
9 Letter Words
esoterica 11
8 Letter Words
agrestic 11 cigarets 11 corteges 11 ecotages 11 ergastic 11 escargot 11 orgastic 11 coteries 10 eroticas 10 esoteric 10
4 Letter Words
cage 7 cigs 7 cogs 7 crag 7 scag 7 aces 6 acre 6 acro 6 acts 6 arco 6 arcs 6 asci 6 care 6 cars 6 cart 6 case 6 cast 6 cate 6 cats 6 cees 6 cere 6 cero 6 cert 6 cete 6 ciao 6 cire 6 cist 6 cite 6 coat 6 coir 6 core 6 cors 6 cost 6 cote 6 cots 6 cris 6 crit 6 ecos 6 etic 6 ices 6 ocas 6 orca 6 orcs 6 otic 6 race 6 recs 6 rice 6 rocs 6 scar 6 scat 6
3 Letter Words
cig 6 cog 6 ace 5 act 5 arc 5 car 5 cat 5 cee 5 cis 5 cor 5 cos 5 cot 5 eco 5 ice 5 oca 5 orc 5 rec 5 roc 5 sac 5 sec 5 sic 5 soc 5 tec 5 tic 5 age 4 ago 4 ags 4 ego 4 erg 4 gae 4 gar 4 gas 4 gat 4 gee 4 get 4 gie 4 gis 4 git 4 goa 4 gor 4 gos 4 got 4 org 4 rag 4 reg 4 rig 4 sag 4 seg 4 sig 4 tag 4
2 Letter Words
ag 3 gi 3 go 3 ae 2 ai 2 ar 2 as 2 at 2 er 2 es 2 et 2 is 2 it 2 oe 2 oi 2 or 2 os 2 re 2 si 2 so 2 ta 2 te 2 ti 2 to 2
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