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1
Set Theory: Centre de Recerca Matemàtica Barcelona, 2003-2004
Notice that definably-large cardinals are very different from recursively-large
ones. Definably-large cardinals are true large cardinals, since they are
inaccessible. Moreover, definably-large cardinals are defined in the broader
context of V and ...
Joan Bagaria, Stevo Todorcevic, 2006
2
Model Theory, Algebra, and Geometry
is a group definable in a structure M, then we say that G is definably simple if G
has no proper non-trivial M-definable normal subgroups, and that G is G-
definably simple if it has no proper non-trivial normal subgroups which are
definable just ...
Deirdre Haskell, Anand Pillay, Charles Steinhorn, 2000
[16, Proposition 2.12] Let G be a definable group. Put on G the definable manifold
topology. Let G0 ⊂ G be the definably connected component ofthe identity of G.
Then G0 is a normal subgroup ofG and it is the smallest definable subgroup ofG ...
Alessandro Andretta, Keith Kearnes, Domenico Zambella, 2008
4
Lecture Notes on O-Minimal Structures and Real Analytic Geometry
An expansion K of an ordered field is a definably complete Baire structure if the
two following (first-order) conditions hold: 1. Every definable subset of K has a
supremum in K [ f ̇1g. 2. K, as a set, is not definably meager, i.e. K is not the
union ...
Chris Miller, Jean-Philippe Rolin, Patrick Speissegger, 2012
5
Tame Topology and O-minimal Structures
Suppose A is closed in X and f:A->Y is definably proper. Then X Hf Y exists as a
definably proper quotient ofX II Y. PROOF. Identifying X and Y with their images
in suitable completions and using lemma (2.7) we may assume that X and Y are ...
By Corollary 2.27, G is AMnternal, and we can find Gi definable in K and
isomorphic to G by an isomorphism u which is definable in the pure group G.
Everything here is definable in F, so by Theorem 4.15, K is a pure field definably (
in F) ...
7
O-minimal Structures: Lisbon 2003 ; Proceedings of a Summer ...
By [2] Lemma 4.11, the notion of definably connected, definably compact
homology definable manifold can be transfered to R. Thus, as in [7] Proposition
5.5 we have the following result. Proposition 3.7 Let X be a definably connected,
...
F. Broglia, C. Coste, A. Diaz-Cano, D. Richardson, N. Schwartz, 2005
0 Definition 1.1.5 A group G is • definably simple if G has no proper non-trivial
relatively definable normal subgroups; • definably quasi-simple if G < dc(G') and
G/Z(G) is definably simple; and • definably semi-simple if G < dc(G') and G/Z(G) ...
[8] (1) G satisfies DCC for type-definable subgroups of bounded index. Namely,
there is no infinite descending chain of type-definable subgroups of G of
bounded index. (2) If G is definably connected then G/G00 is connected. About
the proof.
Françoise Delon, Ulrich Kohlenbach, Penelope Maddy, 2010
10
Simple Groups of Finite Morley Rank
Let G be a group of finite Morley rank acting definably on an abelian group V.
Then V is definably G-irreducible if it has no nontrivial proper definable G -
invariant subgroup. Lemma 4.7 (Schur's Lemmma). Let G be a group acting
definably on a ...
Tuna Altınel, Alexandre Borovik, Gregory L. Cherlin
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Ezra Furman – Perpetual Motion People
Every track on Perpetual Motion People has at least one definably quotable lyric and, after several listens I've yet to entirely decipher what if ... «DOA, 七月 15»
'Medical emergency' exception in Wisconsin's 20-week abortion ban …
"But so many other cases fall in between what is definably a threat to a woman's life and what could be a threat to a woman's life or her ... «Madison.com, 六月 15»
Tasmina Ahmed-Sheikh: The Scottish people's voice will be heard
Both the atmosphere and the architecture at the Palace of Westminster are tangibly and definably British. It clings to its Mother of Parliaments ... «The National, 五月 15»
London Quartet Wolf Alice Will Be Getting Your Attention
... mellifluous vocals, Blur's observational songwriting, and the occasional Sonic Youth guitar break -- to create something definably its own. «Riverfront Times, 四月 15»
Pop your cork with three delicious bubblies
... a wine such as Wiston's pristine all-chardonnay cuvée is definably English. It has the French region's patisserie shop characters, but they're ... «The Guardian, 四月 15»
Brand Genius 2015 Call for Submissions
... campaign or otherwise guided the overall marketing of a brand in a definably new direction. (Courageous thinking and trend-bucking a plus.). «Adweek, 四月 15»
State of Plague, Part 4:Disease-Mongering as Militarized Trojan …
... ironically, happens to find its best points of entry in what are definably panoptic disaster-and-rescue scenarios ( as Naomi Klein documents, ... «Age of Autism, 四月 15»
Milan 2015 Exhibition to woo more Lankans
“This would definably enhance to the brand value of Sri Lanka which is currently at 61 billion dollars. We must become a 80 billion dollar nation ... «Ceylon Daily News, 四月 15»
100 thoughts about Furious 7
The Fast & Furious films aren't like the Mission: Impossible movies, where each iteration feels definably unique to their director. To the ... «Entertainment Weekly, 四月 15»
Trent Reznor to be 'point man' for iTunes relaunch
... co-founder Jimmy Iovine, and Beats Music boss Ian Rogers – as pulling out all the stops to make sure the actual service is definably different, ... «The Guardian, 三月 15»
