Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Radon's theorem
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==References== *{{citation | last1 = Bajmóczy | first1 = E. G. | last2 = Bárány | first2 = I. | author2-link = Imre Bárány | doi = 10.1007/BF01896131 | doi-access = | journal = [[Acta Mathematica Hungarica]] | pages = 347–350 | title = A common generalization of Borsuk's and Radon's theorem | volume = 34 | issue = 3–4 | year = 1979| s2cid = 12971298 }}. *{{citation | last1 = Bandelt | first1 = H.-J. | last2 = Pesch | first2 = E. | doi = 10.1007/BF01197978 | doi-access = | issue = 1 | journal = [[Archiv der Mathematik]] | pages = 95–98 | title = A Radon theorem for Helly graphs | volume = 52 | year = 1989| s2cid = 120983560 }}. *{{citation | last = Chepoi | first = V. D. | journal = Mat. Issled. | language = Russian | pages = 164–177 | title = Some properties of the d-convexity in triangulated graphs | volume = 87 | year = 1986}}. As cited by {{harvtxt|Bandelt|Pesch|1989}}. *{{citation | last1 = Clarkson | first1 = Kenneth L. | author1-link = Kenneth L. Clarkson | last2 = Eppstein | first2 = David | author2-link = David Eppstein | last3 = Miller | first3 = Gary L. | author3-link = Gary Miller (professor) | last4 = Sturtivant | first4 = Carl | last5 = Teng | first5 = Shang-Hua | author5-link = Shang-Hua Teng | year = 1996 | mr = 1409651 | issue = 3 | journal = International Journal of Computational Geometry & Applications | pages = 357–377 | title = Approximating center points with iterated Radon points | url = https://dl.acm.org/doi/pdf/10.1145/160985.161004 | volume = 6 | doi=10.1142/s021819599600023x}}. *{{citation | last1 = Danzer | first1 = L. | last2 = Grünbaum | first2 = B. | author2-link = Branko Grünbaum | last3 = Klee | first3 = V. | author3-link = Victor Klee | contribution = Helly's theorem and its relatives | pages = 101–179 | publisher = [[American Mathematical Society]] | series = Proc. Symp. Pure Math. | title = Convexity | url = | volume = 7 | year = 1963}}. *{{citation | last = Duchet | first = Pierre | issue = 3 | journal = Journal of Combinatorial Theory, Series A | pages = 307–316 | title = Convex sets in graphs. II. Minimal path convexity | volume = 44 | year = 1987 | doi=10.1016/0095-8956(88)90039-1| doi-access = free }}. As cited by {{harvtxt|Bandelt|Pesch|1989}}. *{{citation | last = Eckhoff | first = J. | contribution = Helly, Radon, and Carathéodory type theorems | location = Amsterdam | pages = 389–448 | publisher = North-Holland | title = Handbook of Convex Geometry | volume = A, B | year = 1993}}. *{{citation | last1 = Kay | first1 = David C. | last2 = Womble | first2 = Eugene W. | mr = 0310766 | issue = 2 | journal = [[Pacific Journal of Mathematics]] | pages = 471–485 | title = Axiomatic convexity theory and relationships between the Carathéodory, Helly, and Radon numbers | url = http://projecteuclid.org/euclid.pjm/1102970059 | volume = 38 | year = 1971 | doi=10.2140/pjm.1971.38.471| doi-access = free }}. *{{citation | last = Matoušek | first = J. | author-link = Jiří Matoušek (mathematician) | contribution = 1.3 Radon's Lemma and Helly's Theorem | isbn = 978-0-387-95373-1 | pages = 9–12 | publisher = Springer-Verlag | series = [[Graduate Texts in Mathematics]] | title = Lectures on Discrete Geometry | volume = 212 | year = 2002}}. *{{citation | last = Matoušek | first = J. | author-link = Jiří Matoušek (mathematician) | contribution = 5.1 Nonembeddability Theorems: An Introduction | pages = 88–92 | publisher = Springer-Verlag | title = Using the Borsuk–Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry | title-link = Using the Borsuk–Ulam Theorem | year = 2003}}. *{{citation | last = Radon | first = J. | author-link = Johann Radon | doi = 10.1007/BF01464231 | doi-access = | issue = 1–2 | journal = [[Mathematische Annalen]] | pages = 113–115 | title = Mengen konvexer Körper, die einen gemeinsamen Punkt enthalten | volume = 83 | year = 1921| s2cid = 121627696 }}. *{{citation | last = Tverberg | first = H. | author-link = Helge Tverberg | journal = [[Journal of the London Mathematical Society]] | pages = 123–128 | title = A generalization of Radon's theorem | volume = 41 | year = 1966 | doi=10.1112/jlms/s1-41.1.123}}. [[Category:Theorems in discrete geometry]] [[Category:Theorems in convex geometry]] [[Category:Convex hulls]] [[Category:Geometric transversal theory]]
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)