direct limit

名词 n.
中文释义

英文释义

名词 n.
  1. A set of equivalence classes which partition the disjoint union of the members of a direct system; each equivalence class being a sort of “drainage basin” of the mappings (of the morphisms) of the direct system, if these are analogically considered as “rivers”. (If i<k,j<k in the indexing poset, then there exist f_ik:A_i→A_k and f_jk:A_j→A_k. If a_i∈A_i,a_j∈A_j such that f_ik(a_i)=f_jk(a_j) then a_i∼a_j. If k = j then f_jj(a_j)=a_j,f_ij(a_i)=a_j.)
    — A direct limit has “canonical functions” which map each element of the disjoint union to its equivalence class.
  2. a colimit

词形变化

direct limits plural

词汇关系

反义词
inverse limit
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