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Affine straight lines in family of bounded closed convex sets |
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| Authors: | J. Grzybowski R. Urbański |
| Affiliation: | (1) Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, PL-61-614 Poznań, Poland |
| Abstract: | We prove that affine straight lineϕ A,B(t)=(1−t)A+tB going through bounded closed convex setsA andB is not injective if and only ifA−B is symmetric andA−A,B−B are homotetic. |
| Keywords: | KeywordHeading" >1991 Mathematical Subject Classification 52A07 26A27 |
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