%PDF-1.5 % 1 0 obj << /S /GoTo /D (section.0) >> endobj 4 0 obj (0 Introduction) endobj 5 0 obj << /S /GoTo /D (section.1) >> endobj 8 0 obj (1 Nonstandard analysis) endobj 9 0 obj << /S /GoTo /D (subsection.1.1) >> endobj 12 0 obj (1.1 General setting) endobj 13 0 obj << /S /GoTo /D (subsection.1.2) >> endobj 16 0 obj (1.2 Bounded monadic spaces) endobj 17 0 obj << /S /GoTo /D (subsection.1.3) >> endobj 20 0 obj (1.3 Bounded monadic groups) endobj 21 0 obj << /S /GoTo /D (section.2) >> endobj 24 0 obj (2 Pontryagin\205van Kampen duality in the hyperfinite setting) endobj 25 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 28 0 obj (2.1 Fourier transforms, Bohr sets and spectral sets in finite abelian groups) endobj 29 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 32 0 obj (2.2 The dual triplet) endobj 33 0 obj << /S /GoTo /D (subsection.2.3) >> endobj 36 0 obj (2.3 The dual triplet continued: normalizing multipliers and the proofs of Gordon's Conjectures 1 and 2) endobj 37 0 obj << /S /GoTo /D (subsection.2.4) >> endobj 40 0 obj (2.4 Some \(mainly\) standard equivalents: Hrushovski style theorems) endobj 41 0 obj << /S /GoTo /D (subsection.2.5) >> endobj 44 0 obj (2.5 Simultaneous approximation of an LCA group and its dual) endobj 45 0 obj << /S /GoTo /D (section*.1) >> endobj 48 0 obj (Bibliography) endobj 49 0 obj << /S /GoTo /D [50 0 R /FitBH] >> endobj 63 0 obj << /Length 2841 /Filter /FlateDecode >> stream xڭZK6ϯ^v*j#k!q1+2Iyn4Hi4q\5tM6bѫ+Y#ULddh|s*;7~Iu?͆GW=y`;%]D*GL5Uͅfq}3-ЎILųxwaDŽNQzY|['8 h;|l!8>1~$F$.ՠ h-ӛZ> ci ;::RG&{µ(_*#b.K+3U,3i Ȼ]3i\ROV-i LT]n ٜͪmE5,*qE8rnO,ˊ~UAՌx-Ot[t]YJqGG ܴc`NvVE#7̥7S,IB'J)&1V,9Q?(
;4pCvL
mۢZ$iM\.!x}MBdbDwȶMUGުppkqC[ʋ~۩^AnH,Kg϶ۦEhx&Ҹ3dMXȂC}m٭acQڰy-7YWv<[g|)Utly-uymSmX gxeCsQ-.4ah5=I71w? +5wzM3C=k:0H
ClY:]cet;LFIAEYyk+D*?^9iLr!tDew}ݪ^CY.ˮD!z^2w%`Kq{xiMۅ;#Ai3N
TPU°hC !9N#&z@9I̱(JAf$
H7u:"̄T&LtrZv`Lw/SVv|v) ::{8{5YբHɩhq7pn# `ÂqFfS!0|-Vi:k+' C 6 w$6}C 6ft
&_3B0/0N_#4*P["14H|(c2A(/q&&ܠ4MS n)gM/]JytDj=kap)i@bar8cil?>1OOl@E y}.BǀCVISi"+{PyoCz{˽
aQ $HGN̘ !=`)Ɛb IȊ(we)~Dk48VTECՕhO>A
W`cbVJoyqW9*@AW 1xPnh2L*ɠg0
|s0Xzud3ZUglO+Pp>]u$GJ)mi냱x̹gk@sNL
u/=(
1& )®P5ޔߪ%svXGK(ѩsnn$L
瓜cWǓPM'C
,uJlF]) a[mWm6S(L DN٠8̠D-`nA.zz-ă7plW=ȃiD:
$aKn*"b^ҪC'շ=x8`JEtgcOŸ@Q s^Ba2N+aE4牑S
M#pDvu\$i#v*xM5TCflTV}A
ҵ0=^P)%x
%
)oPz$psb6\ٟrq0ST ӡw 9$4K1WDuzL xhg
{`b]~C'}0oqs
ImS>j-.}z3 ZEO
P
=Mr@}e ǩXY-o@Ԇ
nf7ۺ`6kד QYk̉G&-Og<:3j(yz/@0Ez8'LLI\[N;;;J<مp ?W~e 嘆:&"N4S]W -wV6ٱ183F2.8Ö3&m:~8e S3.َ>l;=l;#@ӍZY 3
kUG%.Q{ DsGYDv*/r;Ŧ\m]5OR:HyWrg1~2remr$N=Bv2CEtE?=r*xӦ^_ѫr.Ĝa_
3ۋg;|@Yi"7q
\dR eP`}Q:nnwa+CoĻ?wb-&`.}=4LYs2}
5
PЕ 6;ơ&G}:~xK&y(0"c-o7RwT<ڮo-e*{OYFxd/^
6xOuԾCz8O_g rNmUH`
endstream
endobj
50 0 obj
<<
/Type /Page
/Contents 63 0 R
/Resources 62 0 R
/MediaBox [0 0 612 792]
/Parent 73 0 R
/Group 60 0 R
/Annots [ 51 0 R 70 0 R 52 0 R 53 0 R 54 0 R 55 0 R 56 0 R 57 0 R 58 0 R 61 0 R ]
>>
endobj
59 0 obj
<<
/Type /XObject
/Subtype /Image
/Width 297
/Height 155
/BitsPerComponent 8
/ColorSpace /DeviceRGB
/SMask 74 0 R
/Length 3020
/Filter /FlateDecode
>>
stream
x=h@UPBE
)""WDb
۬!E)V"b)"4HDŤ0"łS0(M@[,(ł\"*\bޝ;whmY?ix .9RxQPP kVP R@@P R@@P R@@P RK2͜Xbd-q(hL9~]E@HnJ|tKEDN+E@Hߦz2,64KPԳӘq7t::;ύzq=4x1[P5kNGB3yc~]Y|,hR _w}dyKdƬ5Pލ)=*WSUSym=?_Xl