Minimal Boundaries Enclosing A Given Volume.
E. Gonzalez, U. Massari (1981)
Manuscripta mathematica
Similarity:
E. Gonzalez, U. Massari (1981)
Manuscripta mathematica
Similarity:
Aikawa, Hiroaki (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Similarity:
Rafał Pierzchała (2001)
Annales Polonici Mathematici
Similarity:
The aim of this paper is to prove the theorem on invariance of domain in an arbitrary o-minimal structure. We do not make use of the methods of algebraic topology and the proof is based merely on some basic facts about cells and cell decompositions.
L Moser (1959)
Acta Arithmetica
Similarity:
Asit Baran-Raha (1972)
Colloquium Mathematicae
Similarity:
H. Fredricksen, E. J. Ionascu, F. Luca, P. Stănică (2008)
Acta Arithmetica
Similarity:
Jayakumar Ramanathan (1988)
Manuscripta mathematica
Similarity:
J. Marshall Ash, A. Eduardo Gatto, Stephen Vági (1990)
Colloquium Mathematicae
Similarity:
Mário J. Edmundo, Marcello Mamino, Luca Prelli (2016)
Fundamenta Mathematicae
Similarity:
In this paper we work in o-minimal structures with definable Skolem functions, and show that: (i) a Hausdorff definably compact definable space is definably normal; (ii) a continuous definable map between Hausdorff locally definably compact definable spaces is definably proper if and only if it is a proper morphism in the category of definable spaces. We give several other characterizations of definably proper, including one involving the existence of limits of definable types. We also...
Sergio Fratarcangeli (2008)
Fundamenta Mathematicae
Similarity:
The purpose of this paper is to extend a theorem of Speissegger [J. Reine Angew. Math. 508 (1999)], which states that the Pfaffian closure of an o-minimal expansion of the real field is o-minimal. Specifically, we display a collection of properties possessed by the real numbers that suffices for a version of the proof of this theorem to go through. The degree of flexibility revealed in this study permits the use of certain model-theoretic arguments for the first time, e.g. the compactness...
Tomasz Downarowicz (2011)
Colloquium Mathematicae
Similarity:
We construct an example of two commuting homeomorphisms S, T of a compact metric space X such that the union of all minimal sets for S is disjoint from the union of all minimal sets for T. In other words, there are no common minimal points. This answers negatively a question posed in [C-L]. We remark that Furstenberg proved the existence of "doubly recurrent" points (see [F]). Not only are these points recurrent under both S and T, but they recur along the same sequence of powers. Our...
Pierre Michel (1975)
Publications mathématiques et informatique de Rennes
Similarity:
Li Zhenqi (1995)
Manuscripta mathematica
Similarity:
Dusa McDuff (1981)
Annales de l'institut Fourier
Similarity:
Necessary conditions are found for a Cantor subset of the circle to be minimal for some -diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.
Zaslavski, Alexander J. (2002)
Abstract and Applied Analysis
Similarity:
Krzysztof Jan Nowak (2011)
Annales Polonici Mathematici
Similarity:
We demonstrate that the composite function theorems of Bierstone-Milman-Pawłucki and of Glaeser carry over to any polynomially bounded, o-minimal structure which admits smooth cell decomposition. Moreover, the assumptions of the o-minimal versions can be considerably relaxed compared with the classical analytic ones.
Luigi Ambrosio (1990)
Manuscripta mathematica
Similarity: