منابع مشابه
Non-homeomorphic Conjugate Complex Varieties
We present a method to produce examples of non-homeomorphic conjugate complex varieties based on the genus theory of lattices. As an application, we give examples of arithmetic Zariski pairs.
متن کاملRefinements of the Density and ^-density Topologies
Given an arbitrary ideal f on the real numbers, two topologies are denned that are both finer than the ordinary topology. There are nonmeasurable, non-Baire sets that are open in all of these topologies, independent of f . This shows why the restriction to Baire sets is necessary in the usual definition of the ./"-density topology. It appears to be difficult to find such restrictions in the cas...
متن کاملNew Non-standard Topologies
In this paper, on a non-standard extension (∗X ,∗d) of a metric space (X ,d), we construct a chain of new non-standard topologies in terms of convex subrings of ∗R, its minimal element is the Stopology and its maximal is the Q-topology. Next, we construct X̂ , the F -asymptotic hull of X , and we prove that such space is metrizable and complete when F is generated by an asymptotic scale. Finally...
متن کاملNon-Random Phases in Non-Trivial Topologies
We present a new technique for constraining the topology of the universe. The method exploits the existence of correlations in the phases of the spherical harmonic coefficients of the CMB temperature pattern associated with matched pairs of circles seen in the sky in universes with non-trivial topology. Unlike other statistics developed to hunt for these matched circles, the method is computati...
متن کاملOn Possible Non-homeomorphic Substructures of the Real Line
We consider the problem, raised by Kunen and Tall, of whether the real continuum can have non-homeomorphic versions in different submodels of the universe of all sets. This requires large cardinals, and we obtain an exact consistency strength: Theorem 1. The following are equiconsistent : (i) ZFC + ∃κ a Jónsson cardinal ; (ii) ZFC + ∃M a sufficiently elementary submodel of the universe of sets ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematica Slovaca
سال: 2007
ISSN: 1337-2211,0139-9918
DOI: 10.2478/s12175-007-0030-7