COUNTABLY APPROXIMATING FRAMES | Zendy

Seung-On Lee | Zendy

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COUNTABLY APPROXIMATING FRAMES

Author(s) -

Seung-On Lee

Publication year - 2002

Publication title -

communications of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.286

H-Index - 15

eISSN - 2234-3024

pISSN - 1225-1763

DOI - 10.4134/ckms.2002.17.2.295

Subject(s) - mathematics , sigma , homomorphism , frame (networking) , pure mathematics , countable set , discrete mathematics , computer science , physics , quantum mechanics , telecommunications

Using the Countably way below relation, we show that the category -CFrm of -coherent frames and -coherent homomorphisms is coreflective n the category Frm of frames and frame homomorphisms. Introducting the concept of stably countably approximating frames which are exactly retracts of -coherent frames, it is shown that the category SCAFrm of stably countably approximating frames and -proper frame homomorphisms is coreflective in Frm. Finally we introduce strongly Lindelof frames and show that they are precisely lax retracts of -coherent frames.

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