THEWAY-BELOW RELATION ON FUNCTION SPACES FROM TOPOLOGICAL SPACE TO DOMAIN

Main Authors: , Hadrian Andradi, , Dr. Ch. Rini Indrati, M.Si.
Format: Thesis NonPeerReviewed
Terbitan: [Yogyakarta] : Universitas Gadjah Mada , 2012
Subjects:
ETD
Online Access: https://repository.ugm.ac.id/99823/
http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=56072
Daftar Isi:
  • The way-below relation on partially ordered sets which are continuous in the sense of D.S. Scott is of paramount importance. The way-below relation expresses the approximation of an element by its finite parts, analogous to the situation where a real number can be perceived as the limit of a sequence of its rational approximants. In this thesis, we present explicit characterizations of the way-below relation on spaces of continuous functions from topological space into continuous poset.