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TABLE OF CONTENTS Creatures on a>i and weak diamonds, by HEIKE MILDENBERGER 1 Normal subgroups of infinite symmetric groups, with an application to stratified set theory, by NATHAN Arithmetic on ... and SAHARON SHELAH Zero-one law and definability of linear order, by HANNU NIEMISTO From index sets to randomness in 0": random reals and possibly infinite computations part II, by VER6NICA BECHER and ...doi:10.1017/s0022481200003674 fatcat:2oritwgmkvbbvbsyg5nmzveewq
As an application of this result, the author obtains two extension theorems for stratified maps defined on some strata of a stratified space. Miguel T. ... Soc. (2) 18 (1978), no. 2, 353-364; MR 80c:58006] showed that Diffo(S) is perfect and that there is a bijective correspondence between its normal subgroups and the lattice of subsets of the set of connected ...
To prove the stratification theorem, the author studies the ILH-Lie group structure of the centraliser and normalizer of a given compact subgroup G of D in Section V.3, especially V.23. ... This result is used to prove that if f satisfies condition (C) of Palais and Smale with an infinite number of isolated critical values c, with the property that for each c; there exists a gq, with homology ...
We extend these considerations to backgrounds which support H-flux, where we use K-groups of twisted group algebras of the fundamental groups to analyse stability of locally symmetric spaces with K-amenable ... For spaces stratified fibered over hyperbolic orbifolds we use the algebraic K-theory of their fundamental groups and Quinn homology to derive criteria for brane stability in terms of an Atiyah-Hirzebruch ... Part of this work was carried out while RJS was visiting the Hausdorff Research Institute for Mathematics in Bonn during the 2014 Trimester Program "Noncommutative Geometry and its Applications"; he would ...doi:10.1088/1751-8113/49/16/165401 fatcat:xhtesg5y7bbtbgwqehbfggjxju
We present detailed summaries of the talks that were given during a week-long workshop on Arithmetic Groups at the Banff International Research Station in April 2013. ... The vast majority of these reports are based on abstracts that were kindly provided by the speakers. Video recordings of many of the lectures are available online. ... unramified Brauer group with respect to an appropriate set of discrete valuations of K. ...arXiv:1309.5125v1 fatcat:ymoi5te3c5dxlc76t67ekvnat4
The construction starts with a universal moduli space of Abelian varieties. This space carries a structure of an infinite dimensional locally symmetric space which is of interest in its own right. ... Applications to the Plateau-Douglas problem for minimal surfaces of varying genus and to the partition function of Bosonic string theory are outlined. ... Acknowledgments: We would like to thank K.-H. Neeb for helpful conversations on infinite dimensional symmetric spaces and for pointing out several references. ...doi:10.1016/j.geomphys.2016.11.004 fatcat:d23mnhsvyngfdf7nyub3wihwje
In the case of a spherically stratified media, we already saw that there exist infinitely many nonscattering wave numbers and furthermore the set of nonscattering wave numbers coincides with the set of ... Spherically Stratified Media As mentioned above, the scattering problem for spherically symmetric media is of great importance since it provides an example where the set of nonscattering frequencies and ... A Fuchsian group Γ of the first kind is a discrete subgroup of 2 (ℝ) that has a finite number of generators and a fundamental domain of finite volume. ...doi:10.1090/noti2350 fatcat:pefmsepv7jc53aeothjhczlzq4
Summary: “We present a generalization of the Conley index the- ory to infinite-dimensional spaces. We give an application which generalizes a well-known theorem of Krasnosel’skii.” Yu. E. ... This paper essentially contains an extension of the Cauchy- Kovalevskaya theorem to infinitely generated supermanifolds. ...
In this paper we are concerned with the four functors .9*, .9: iff , ~ , and £:-00 , which map from the category of topological spaces X to the category d'ff of n-spectra. ... If X is path connected then the functor £:-00 () maps X to the L -00 -surgery classifying spaces for oriented surgery problems with fundamental group 1l, X identified by their fourfold periodicity ~-OO ... A group H is virtually infinite cyclic if there is a short exact sequence of groups 1 -+ Z -+ H -+ F -+ 1 with F equal to a finite group and Z equal to the infinite cyclic group. ...doi:10.2307/2152801 fatcat:whnp4oerdvegdjdakptxafvwge
In this paper we are concerned with the four functors .9*, .9: iff , ~ , and £:-00 , which map from the category of topological spaces X to the category d'ff of n-spectra. ... If X is path connected then the functor £:-00 () maps X to the L -00 -surgery classifying spaces for oriented surgery problems with fundamental group 1l, X identified by their fourfold periodicity ~-OO ... A group H is virtually infinite cyclic if there is a short exact sequence of groups 1 -+ Z -+ H -+ F -+ 1 with F equal to a finite group and Z equal to the infinite cyclic group. ...doi:10.1090/s0894-0347-1993-1179537-0 fatcat:34nxr4h6kvfivodnazel7c7rvq
We then apply this result to show that, for any Bianchi group Γ, W h(Γ),K 0 (ZΓ), and K i (ZΓ) vanish for i ≤ −1. ... We prove the Farrell-Jones Isomorphism Conjecture for groups acting properly discontinuously via isometries on (real) hyperbolic n-space H n with finite volume orbit space. ... TF2 G contains a finite normal subgroup with quotient isomorphic to Z or D ∞ . ...doi:10.1090/s0002-9947-00-02529-0 fatcat:ofuanyhfrzegniavpswfl256um
As an example, in the basic theory of symmetric spaces one finds that the R-rank of G equals the dimension of a maximal flat totally geodesic submanifold in X. Such manifolds are called R-flats. ... The first conjecture suggests that Gromov limits of certain stratified sets are themselves stratified. ...
Then the space E of diagonal matrices is a section. Moreover the symmetric group Sk acts on E by permuting the diagonal entries and the orbit spaces M/G and E/Sk are isomorphic as stratified sets. ... Schwarz an early version of our results he pointed out to us a preprint of an important paper [Da2] by J. ... little is yet known, is to develop an analogous canonical form theory for infinite dimension manifolds with infinite dimensional Lie group actions. ...doi:10.1090/s0002-9947-1987-0876478-4 fatcat:3yyq36gnbfg7lonmgag2d55zry
Then the space E of diagonal matrices is a section. Moreover the symmetric group Sk acts on E by permuting the diagonal entries and the orbit spaces M/G and E/Sk are isomorphic as stratified sets. ... Schwarz an early version of our results he pointed out to us a preprint of an important paper [Da2] by J. ... little is yet known, is to develop an analogous canonical form theory for infinite dimension manifolds with infinite dimensional Lie group actions. ...doi:10.2307/2000369 fatcat:3mrfhhmtr5aqha5zktunsrqzzu
Such L is amenable tf and only if L= KR, where K is a maximal compact subgroup and R ~s a closed connected solvable normal subgroup of L A discrete subgroup G of an amenable Lie group L ts known to be ... a Lie group L with finitely many components. ... According t-~ Farrell and Hsiang, there are three possible cases:(1) there exists a surjection 0: F ~ Z with F' = ker(dJ) a crystallographic group of rank m -1; or (2) there exist an infinite set of posttb'e ...doi:10.1016/0166-8641(89)90103-x fatcat:4d3rdtifjzcftg7kfzrzd7veeq
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