Some Remarks about a Theorem of Hartogs
نویسندگان
چکیده
منابع مشابه
Some Remarks on Hartogs’ Extension Lemma
Motivated by a result and a question by E. M. Chirka we consider the Hartogs’ extension property for some connected sets in C2 of the form K = Σ ∪ (∂Δ × Δ), where Σ is a possibly nonconnected compact subset of Δ×Δ ⊂ C2.
متن کاملGeneralizing Hartogs’ Trichotomy Theorem
The Trichotomy Principle says that a pair of sets A and B either admits a bijection or else precisely one of these sets injects into the other. Hartogs established logical equivalence between the Trichotomy Principle and the Well-Ordering Principle. As ZF suffices to prove the Schröder-Bernstein theorem, the heart of Trichotomy lies in the existence of some injection connecting A and B (in eith...
متن کاملSome remarks about a notion of rearrangement
We consider an extension to n-dimensions of the notion of increasing rearrangement for functions of one variable, and study the behaviour with respect to this operation of some classes of integral functionals. Among other applications, we obtain a simple direct proof of the existence and uniqueness of n-dimensional optimal profiles for transitions in a phase-separation model with non-local inte...
متن کاملSome Remarks about Induced Qcd
Migdal and Kazakov have suggested that lattice QCD with an adjoint representation scalar in the infinite coupling limit could induce QCD. I find an exact saddlepoint of this theory for infinite N in the case of a quadratic scalar potential. I discuss some aspects of this solution and also show how the continuum D = 1 matrix model with an arbitrary potential can be reproduced through this approa...
متن کاملSome Remarks about Random Testing
The use of a pseudo-random number generator to produce test cases for software appears not to be widely used, although the method has been reported in the literature for many years [1, 2, 4]. This paper draws on experience with this technique in two areas: compilers and software components. The use of a pseudo-random number generator to produce test cases which are expected to reflect actual us...
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: Proceedings of the American Mathematical Society
سال: 1966
ISSN: 0002-9939
DOI: 10.2307/2035718