We investigate semi-continuous maps from topological spaces into topological vector lattices. As an application, several insertion theorems with values in Banach lattices are given. (C) 2010 Elsevier B.V. All rights reserved.
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Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R ChinaSouthwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China
Xiang, Bo
Chen, Jin Xi
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Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R ChinaSouthwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China
Chen, Jin Xi
Li, Lei
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Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R ChinaSouthwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China