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Disjoint Unit Spheres admit at most two Line Transversals

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(1)Disjoint Unit Spheres admit at most two Line Transversals Otfried Cheong, Xavier Goaoc, Hyeon-Suk Na. To cite this version: Otfried Cheong, Xavier Goaoc, Hyeon-Suk Na. Disjoint Unit Spheres admit at most two Line Transversals. [Research Report] RR-4854, INRIA. 2003. �inria-00071729�. HAL Id: inria-00071729 https://hal.inria.fr/inria-00071729 Submitted on 23 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Disjoint Unit Spheres admit at most two Line Transversals Otfried Cheong — Xavier Goaoc — Hyeon-Suk Na. N° 4854 Juin 2003. ISSN 0249-6399. ISRN INRIA/RR--4854--FR+ENG. THÈME 3. apport de recherche.

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(52) µ Ax ^`ty‘.µ ; p tyi&~5kni;k¶&tq‘`iz¥¨tym}qbtyacbklmos|p²†&b3mla ‘§konkls|tyiz~ty¥ `s|~ƃ5tys|i;k ‘`i`suk ¶zn³|³|~3µ:I' ®L  Q± §K ®L ®>Æ ± ‹(  ±E  ®  {&’l uN •€`e •A• d`{q’y“y“qd`µ ; Y ‹[  µ`zµ#”| nk?²n nyiz c knkosutqiz~t¥p tqi;´qbx| ¥Æµ§n„”k µ ty Q¶§ƒ5nb7mprnykoz~ns|miFnƒ¡ª¬n«zi.µ:µ ko'suI}q?^q  k®‹ ¶AQ±ty‘`izv §Ktyiv® c‹kl^`b# ±iJ ‘`c|af{A’¶AebÐNmŒŠqtyd ¥.§}yŒb3Šqty‹`ac{;b ’ko“yml“zsp•y†Aµ bmoaf‘§w Y l[HMC µ JC actqmlt§§s|iz~;S ¾q{&&µ MC µ ‡M µ  s©kp^`b³|³9{Tni&  µcJC ^znmos|m3µJC ^znyml†F¶Aty‘ziz`~²tyiF}yb3tyacb komlsp#†Abmoaf‘§w knkosutqiz~¥¨tym†&ns|ml¢s~¡b#§s~¨ƒ5tqsui;k ¶zny³u³~s|iª¬«&µ:I' ®Lx Q±5 §K ®?c‹o ± c|{T’d N ’Šw `’yŒ`l {q’y“y“y“zµ Y|•3“#[ „ µ Ÿ b3i`}yb3m3µ ! †`†Abm¬¶Aty‘ziz`~Ytyi }qbtqabklmos|p¤†&b3mla ‘§konkls|tyiz~D¥¨tqmYptyiJ´yb”~lb k~µ'I ®‹P Q±5 §K ®?c  ±  c|{AŒN ’k §dyd`{A•al-yl “zµ Y|•y•'#[ „ µ Ÿ bi`}qbm7µ  b3³u³|¾;w9k5¾J†Abxkl^`b3tymobax~”ni& }qbtqabklmos|p komonyiz~¡´qbm~lny³|~3µcgji zµ  µ ‡” tJt§§axni ni& †&&nµA}yb7~3“ „ye tqd ‘`Jm‹qqS ’`byµ {D#áb3§„ su#kltqmo‚Q~3ml{#b7"~l~3›  › #²±3{ ±%$ŽáM t§± pan„ 'nIkl?ty  i.®‹V{0AQ›  {M^ •aQ±l-lk§ 5µ  §K ®‹ ® Æ ± (  ±E ®> {¬p^zny†§klb3m Šz{ Y|•7’&[

(53) µ/Ax ^`tq‘ nyiztTC µ:§C ‘`mlsKµ ‡” b3tyacb komlsp†&b3mla ‘§konkls|tyiz~t¥²¶zn³|³|~¢sukl^ ¶Aty‘`iz`b3 ~¡s n b§s~¡†znymlsuk5¾yµ Q± §K ® c| ± c!  ± '/- F( c|{&’eN d`’“`{§’“q“ydzµ )K 0. ÷D÷ Èž Ÿrà. .

(54) Unité de recherche INRIA Lorraine LORIA, Technopôle de Nancy-Brabois - Campus scientifique 615, rue du Jardin Botanique - BP 101 - 54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes 4, rue Jacques Monod - 91893 ORSAY Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier (France) Unité de recherche INRIA Rocquencourt : Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex (France) Unité de recherche INRIA Sophia Antipolis : 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex (France). Éditeur INRIA - Domaine de Voluceau - Rocquencourt, BP 105 - 78153 Le Chesnay Cedex (France).   

(55).   . ISSN 0249-6399.

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