The rise and fall of MC-spaces

Öz

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.

Anahtar Kelimeler

• KKM theorem, Fan's 1961
• G-convex space
• KKM lemma
• (partial) KKM space
• mc-space
• abstract convex space
• L-space

Kaynakça

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