Chris Freiling

{{Short description|American mathematician}} '''Christopher Francis Freiling''' is a mathematician responsible for Freiling's axiom of symmetry in set theory.<ref>{{citation | last = Mumford | first = David | author-link = David Mumford | editor1-last = Arnold | editor1-first = V. | editor1-link = Vladimir Arnold | editor2-last = Atiyah | editor2-first = M. | editor2-link = Michael Atiyah | editor3-last = Lax | editor3-first = P. | editor3-link = Peter Lax | editor4-last = Mazur | editor4-first = B. | editor4-link = Barry Mazur | contribution = The dawning of the age of stochasticity | location = Providence, RI | mr = 1754778 | pages = 197–218 | publisher = American Mathematical Society | title = Mathematics: Frontiers and Perspectives | year = 2000}}. See in particular [https://books.google.com/books?id=qjVaD1OQbxEC&pg=PA208 p. 208]: "This leads us to the stunning result of Christopher Freiling (1986): using the idea of throwing darts, we can disprove the continuum hypothesis."</ref> He has also made significant contributions to coding theory, in the process establishing connections between that field and matroid theory.<ref>{{citation|title=Network Information Theory|first1=Abbas|last1=El Gamal|author1-link=Abbas El Gamal|first2=Young-Han|last2=Kim|publisher=Cambridge University Press|year=2011|isbn=9781139503143|page=171|url=https://books.google.com/books?id=Ack2AAAAQBAJ&pg=RA1-PA171|quote=Dougherty, Freiling, and Zeger (2005) showed via an ingenious counterexample that unlike the multicast case, linear network coding fails to achieve the capacity region of a general graphical multimessage network error-free. This counterexample hinges on a deep connection between linear network coding and matroid theory.}}</ref>

Freiling obtained his Ph.D. in 1981 from the University of California, Los Angeles under the supervision of Donald A. Martin.<ref>{{mathgenealogy|id=46539}}</ref> He is a member of the faculty of the Department of Mathematics at California State University, San Bernardino.<ref>[http://www.math.csusb.edu/index.php?main=staffDirectory.html Faculty/staff directory] {{Webarchive|url=https://web.archive.org/web/20161011034838/http://www.math.csusb.edu/index.php?main=staffDirectory.html |date=2016-10-11 }}, CSUSB Mathematics Department, retrieved 2015-04-11.</ref>

==Selected publications== *{{Citation | last1=Freiling | first1=Chris | title=Axioms of symmetry: throwing darts at the real number line | doi=10.2307/2273955 | mr=830085 | year=1986 | journal=The Journal of Symbolic Logic | issn=0022-4812 | volume=51 | issue=1 | pages=190–200| jstor=2273955 | s2cid=38174418 }} *{{citation | last1 = Dougherty | first1 = Randall | author1-link = Randall Dougherty | last2 = Freiling | first2 = Christopher | last3 = Zeger | first3 = Kenneth | doi = 10.1109/TIT.2005.851744 | issue = 8 | journal = IEEE Transactions on Information Theory | pages = 2745–2759 | title = Insufficiency of linear coding in network information flow | volume = 51 | year = 2005| s2cid = 2543400 | citeseerx = 10.1.1.218.5329 }}. *{{citation | last1 = Dougherty | first1 = Randall | author1-link = Randall Dougherty | last2 = Freiling | first2 = Chris | last3 = Zeger | first3 = Kenneth | doi = 10.1109/TIT.2007.896862 | issue = 6 | journal = IEEE Transactions on Information Theory | mr = 2321860 | pages = 1949–1969 | title = Networks, matroids, and non-Shannon information inequalities | volume = 53 | year = 2007| s2cid = 27096 | citeseerx = 10.1.1.218.3066 }}.

==References== {{reflist}}

==External links== * [http://www.math.csusb.edu/faculty/freiling/index.php Home page]

{{DEFAULTSORT:Freiling, Chris}} Category:20th-century American mathematicians Category:21st-century American mathematicians Category:Set theorists Category:Coding theorists Category:University of California, Los Angeles alumni Category:California State University, San Bernardino, faculty Category:Living people Category:Year of birth missing (living people)