@article{oai:ynu.repo.nii.ac.jp:00006974, author = {Terada, Toshiji}, issue = {1}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, For a Tychonoff space X , the space C_{p}(X) of all real-valued continuous functions with the topology of pointwise convergence is considered as a topological lattice, We study about the space O_{P}C_{p}(X) of all continuous lattice-homomorphisms from C_{p}(X) to R with the topology of pointwise convergence. For example, the subspace of O_{P}C_{p}(X) consisting of open continuous lattice-homomorphisms is homeomorphic to the product space X times C_{p}^{ epsilon i}(R) , where C_{p}^{ epsilon i}(R) is the space of all strictly increasing continuous functions from R to itself with the topology of pointwise convergence.}, pages = {105--113}, title = {SPACES OF CONTINUOUS LATTICE-HOMOMORPHISMS FROM C_{p}(X) TO R}, volume = {49}, year = {2001} }