On the Contractibility of the Efficient and Weakly Efficient Sets in R2
https://doi.org/10.1007/978-1-4613-0239-1_13Publisher, magazine: ,
Publication year: 2003
Lưu Trích dẫn Chia sẻAbstract
In this paper we give a detailed proof for a theorem due to D. T. Luc saying that the efficient and weakly efficient sets of compact convex subsets of R 2 are homeomorphic to certain simplexes. An example is designed to analyze the proof scheme of Luc for this theorem.
Tags: Convex subset of R2, efficient set, weakly efficient set, contractibility, simplex.
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On the Contractibility of the Efficient and Weakly Efficient Sets in R2