COMPLETE PARTIAL ORDERING
\kəmplˈiːt pˈɑːʃə͡l ˈɔːdəɹɪŋ], \kəmplˈiːt pˈɑːʃəl ˈɔːdəɹɪŋ], \k_ə_m_p_l_ˈiː_t p_ˈɑː_ʃ_əl ˈɔː_d_ə_ɹ_ɪ_ŋ]\
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(cpo) A partial ordering of a set under arelation, where all directed subsets have a least upperbound. A cpo is usually defined to include a least element,bottom (David Schmidt calls this a pointed cpo). A cpowhich is algebraic and boundedly complete is a (Scott)domain.
By Denis Howe
Word of the day
basidiomycota
- comprises fungi bearing the spores on basidium: Gasteromycetes (puffballs); Tiliomycetes (comprising orders Ustilaginales (smuts) and Uredinales (rusts)); Hymenomycetes (mushrooms; toadstools; agarics; bracket fungi); in some classification systems considered a division of kingdom comprises fungi bearing spores on a basidium; includes Gasteromycetes (puffballs) Tiliomycetes comprising the orders Ustilaginales (smuts) and Uredinales (rusts) Hymenomycetes (mushrooms, toadstools, agarics bracket fungi).