Fixed chords and discs in convex bodies


	Open access
	Fixed chords and discs in convex bodies


	Fixed Point Theory, Volume 18, No. 1, 2017, 407-412, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.32 Authors: Tudor Zamfirescu Abstract: We prove here that, in the sense of Baire categories, most convex bodies possess fixed chords and fixed discs. Key Words and Phrases: fixed chords, fixed discs, convex bodies, Baire categories. 2010 Mathematics Subject Classification: 52A20, 52A15, 54E52, 54H25, 47H10. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents