The rise and fall of MC-spaces

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Results in Nonlinear Analysis
Volume:4 Issue:1
The rise and fall of MC-spaces

The rise and fall of MC-spaces

Pages : 21-32

View : 16 | Download : 9

Publication Date : 2021-03-31

Article Type : Conference Paper

Abstract :In 1994, Llinares introduced mc-spaces and began to study KKM theoretic results on them. Since 1998, he became an L-space theorist and repeated to claim that his mc-spaces generalize G-convex spaces without any justifications. Later he insisted that his mc-spaces are the same as L-spaces. Hence his study on mc-spaces is useless now as the L-space case shown by our previous works. The present article is a continuation of our previous works on L-spaces and concerns with the rise and fall of mc-spaces. This paper will be an important record for the history of the KKM theory.
Keywords : KKM theorem, Fan\`s 1961, G convex space, KKM lemma partial, KKM space, mc space, abstract convex space, L space

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