APM  Vol.5 No.3 , March 2015
Second Note on the Definition of S1-Convexity
Abstract: In this note, we discuss the definition of the S1-convexity Phenomenon. We first make use of some results we have attained for   in the past, such as those contained in [1], to refine the definition of the phenomenon. We then observe that easy counter-examples to the claim extends K0 are found. Finally, we make use of one theorem from [2] and a new theorem that appears to be a supplement to that one to infer that  does not properly extend K0 in both its original and its revised version.
Cite this paper: Pinheiro, I. (2015) Second Note on the Definition of S1-Convexity. Advances in Pure Mathematics, 5, 127-130. doi: 10.4236/apm.2015.53015.

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