3,118 research outputs found
Surgery and Geometric Topology : Proceedings of the conference held at Josai University 17-20 September, 1996
Ideas from the theory of topological stability of smooth maps are transportedinto the controlled topological category. For example, the controlled topologicalequivalence of maps is discussed. These notions are related to the classi cation ofmanifold approximate brations and manifold strati ed approximate brations. Inturn, these maps form a bundle theory which can be used to describe neighborhoodsof strata in topologically strati ed spaces.Surgery and Geometric Topology : Proceedings of the conference held at Josai University 17-20 September, 1996 / edited by Andrew Ranicki and Masayuki Yamasaki. 本文データは許諾を得てeditorのHPサイトhttp://surgery.matrix.jp/math/josai96/proceedings.html から複製再利用したものである
Bounded distortion homeomorphisms on ultrametric spaces
It is well-known that quasi-isometries between R-trees induce power
quasi-symmetric homeomorphisms between their ultrametric end spaces. This paper
investigates power quasi-symmetric homeomorphisms between bounded, complete,
uniformly perfect, ultrametric spaces (i.e., those ultrametric spaces arising
up to similarity as the end spaces of bushy trees). A bounded distortion
property is found that characterizes power quasi-symmetric homeomorphisms
between such ultrametric spaces that are also pseudo-doubling. Moreover,
examples are given showing the extent to which the power quasi-symmetry of
homeomorphisms is not captured by the quasiconformal and bi-H\"older conditions
for this class of ultrametric spaces.Comment: 20 pages, 1 figure. To appear in Ann. Acad. Sci. Fenn. Mat
DOI: 10.1017/S0017089503001496. Printed in the United Kingdom NEIGHBORHOODS OF STRATA IN MANIFOLD STRATIFIED SPACES
Abstract. Strata in manifold stratified spaces are shown to have neighborhoods that are teardrops of manifold stratified approximate fibrations (under dimension and compactness assumptions). This is the best possible version of the tubular neighborhood theorem for strata in the topological setting. Applications are given to replacement of singularities, to the structure of neighborhoods of points in manifold stratified spaces, and to spaces of manifold stratified approximate fibrations
Textual and hermeneutical aspects of Paul's use of the Old Testament in 1 and 2 Corinthians
Part I presents the textual and conceptual vectors which form the background to the specific examination of the OT in 1 and 2 Cor. Ihe first aim is to discern the original OT text-forms in order to conclude what
was or was not a Pauline alteration. Septuagintal transmission-history in first century Palestine is discussed
in the light of recent methodological advances made by
Barthelemy, Cross and others. The paper follows, in the
main, the established positions of Barthelemy and Tov.
The second aim concerns why Paul selected and, in several
cases, edited the OT texts. Oral and written tradition in
Palestine is examined by interaction with the critical
debates centered on the works of Gerhardsson and others.
Distinctions between literary form and exegetical method
are made in view of possible anachronistic errors when
comparing early Christianity with Judaism and Rabbinics.
Part I concludes by surveying nine major works specifically concerning Paul's use of the OT. A caveat arises to
consider Paul's own usage apart from the imposition of a
later critical method.Part II contains the detailed observation of the
textual and hermeneutical evidences. Organized by OT
books, each passage is examined on textual, contextual
and hermeneutical levels. A cumulative perspective of
Paul's textual bases and hermeneutical methods and conceptualities emergesPart III presents the textual and conceptual con¬
clusions. Hermeneutically, Paul shows a consistent
tendency to use the OT for more than anti-Judaistic
polemic (Lindars) or simple illustration (Ulonska). The
basis of his use was an historical understanding of the
OT. Paul's conceptuality displays a continuity of deity
and piety from the OT to the NT. The conclusions of
Harnack, Dodd, Lindars, Braun and others concerning
Paul's concepts of continuity are evaluated in this light.
The paper concludes with an elaboration of possible in¬
dications of a Palestinian Greek OT in 1 and 2 Cor.
Textually, Paul shows positive evidence for a Palestin¬
ian Greek OT divergent from the LXX. In the absence of
evidence from Qumran, Paul's OT text-forms provide early
evidence for the state of the Greek OT in Palestin
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