The projective limit of the spaces
J. A. Cima, J. R. Harrington, J. A. Pfaltzgraff (1977)
Colloquium Mathematicae
Similarity:
J. A. Cima, J. R. Harrington, J. A. Pfaltzgraff (1977)
Colloquium Mathematicae
Similarity:
Josef Vala (1988)
Časopis pro pěstování matematiky
Similarity:
Fabio Podestà (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
Similarity:
In this work we give a characterization of the projective invariant pseudometric , introduced by H. Wu, for a particular class of real -manifolds; in view of this result, we study the group of projective transformations for the same class of manifolds and we determine the integrated pseudodistance of in open convex regular cones of , endowed with the characteristic metric.
Fabio Podestà (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
In this work we give a characterization of the projective invariant pseudometric , introduced by H. Wu, for a particular class of real -manifolds; in view of this result, we study the group of projective transformations for the same class of manifolds and we determine the integrated pseudodistance of in open convex regular cones of , endowed with the characteristic metric.
Robert Rumely (2015)
Acta Arithmetica
Similarity:
Let K be a complete, algebraically closed nonarchimedean valued field, and let φ(z) ∈ K(z) have degree d ≥ 2. We study how the resultant of φ varies under changes of coordinates. For γ ∈ GL₂(K), we show that the map factors through a function on the Berkovich projective line, which is piecewise affine and convex up. The minimal resultant is achieved either at a single point in , or on a segment, and the minimal resultant locus is contained in the tree in spanned by the fixed points...
Tamás Terpai (2009)
Banach Center Publications
Similarity:
We calculate the mapping and obtain a generating system of its kernel. As a corollary, bounds on the codimension of fold maps from real projective spaces to Euclidean space are calculated and the rank of a singular bordism group is determined.
Yves Guivarc'h, Roman Urban (2005)
Studia Mathematica
Similarity:
Let Γ be a subsemigroup of G = GL(d,ℝ), d > 1. We assume that the action of Γ on is strongly irreducible and that Γ contains a proximal and quasi-expanding element. We describe contraction properties of the dynamics of Γ on at infinity. This amounts to the consideration of the action of Γ on some compact homogeneous spaces of G, which are extensions of the projective space . In the case where Γ is a subsemigroup of GL(d,ℝ) ∩ M(d,ℤ) and Γ has the above properties, we deduce that...
Tien Duc Luu (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
Similarity:
We prove in this paper the Hölder regularity of Almgren minimal sets of dimension 3 in around a -point and the existence of a point of particular type of a Mumford-Shah minimal set in , which is very close to a . This will give a local description of minimal sets of dimension 3 in around a singular point and a property of Mumford-Shah minimal sets in .
Papa A. Sissokho (2014)
Acta Arithmetica
Similarity:
A zero-sum sequence over ℤ is a sequence with terms in ℤ that sum to 0. It is called minimal if it does not contain a proper zero-sum subsequence. Consider a minimal zero-sum sequence over ℤ with positive terms and negative terms . We prove that h ≤ ⌊σ⁺/k⌋ and k ≤ ⌊σ⁺/h⌋, where . These bounds are tight and improve upon previous results. We also show a natural partial order structure on the collection of all minimal zero-sum sequences over the set i∈ ℤ : -n ≤ i ≤ n for any positive...
Renyu Zhao, Pengju Ma (2019)
Czechoslovak Mathematical Journal
Similarity:
Let be a complete and hereditary cotorsion pair in the category of left -modules. In this paper, the so-called Gorenstein projective complexes with respect to the cotorsion pair are introduced. We show that these complexes are just the complexes of Gorenstein projective modules with respect to the cotorsion pair . As an application, we prove that both the Gorenstein projective modules with respect to cotorsion pairs and the Gorenstein projective complexes with respect to cotorsion...
Eva Ferrara Dentice (2018)
Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche
Similarity:
In the paper (Ferrara Dentice et al., 2004) a complete exposition of the state of the art for lax embeddings of polar spaces of finite rank is presented. As a consequence, we have that if a Grassmann space of dimension 3 and index 1 has a lax embedding in a projective space over a skew–field , then is the Klein quadric defined over a subfield of . In this paper, I examine Grassmann spaces of arbitrary dimension and index having a lax embedding in a projective space.
Jörg Brendle, Sakaé Fuchino (2007)
Fundamenta Mathematicae
Similarity:
We study combinatorial principles we call the Homogeneity Principle HP(κ) and the Injectivity Principle IP(κ,λ) for regular κ > ℵ₁ and λ ≤ κ which are formulated in terms of coloring the ordinals < κ by reals. These principles are strengthenings of and of I. Juhász, L. Soukup and Z. Szentmiklóssy. Generalizing their results, we show e.g. that IP(ℵ₂,ℵ₁) (hence also IP(ℵ₂,ℵ₂) as well as HP(ℵ₂)) holds in a generic extension of a model of CH by Cohen forcing, and IP(ℵ₂,ℵ₂) (hence...
Beata Kocel-Cynk (2007)
Annales Polonici Mathematici
Similarity:
We prove that for a finite collection of sets definable in an o-minimal structure there exists a compatible definable stratification such that for any stratum the fibers of its projection onto satisfy the Whitney property with exponent 1.
Abdelhafed Elkhadiri, Hassan Sfouli (2006)
Annales Polonici Mathematici
Similarity:
We give some examples of polynomially bounded o-minimal expansions of the ordered field of real numbers where the Weierstrass division theorem does not hold in the ring of germs, at the origin of ℝⁿ, of definable functions.
Jana Maříková (2010)
Fundamenta Mathematicae
Similarity:
Let R be an o-minimal field and V a proper convex subring with residue field k and standard part (residue) map st: V → k. Let be the expansion of k by the standard parts of the definable relations in R. We investigate the definable sets in and conditions on (R,V) which imply o-minimality of . We also show that if R is ω-saturated and V is the convex hull of ℚ in R, then the sets definable in are exactly the standard parts of the sets definable in (R,V).
Beata Deręgowska, Barbara Lewandowska (2014)
Annales Polonici Mathematici
Similarity:
Let V ⊂ Z be two subspaces of a Banach space X. We define the set of generalized projections by . Now let X = c₀ or , Z:= kerf for some f ∈ X* and (n < m). The main goal of this paper is to discuss existence, uniqueness and strong uniqueness of a minimal generalized projection in this case. Also formulas for the relative generalized projection constant and the strong uniqueness constant will be given (cf. J. Blatter and E. W. Cheney [Ann. Mat. Pura Appl. 101 (1974), 215-227] and...
Farrokh Shirjian, Ali Iranmanesh (2017)
Czechoslovak Mathematical Journal
Similarity:
Let be a finite group. Let be the first column of the ordinary character table of . We will show that if , then . As a consequence, we show that the projective general unitary groups are uniquely determined by the structure of their complex group algebras.
John Donnelly (2019)
Archivum Mathematicum
Similarity:
We use a total order on Thompson’s group to show that the group ring has no minimal non-zero ideals.
Koen Thas, Don Zagier (2008)
Journal of the European Mathematical Society
Similarity:
One of the oldest and most fundamental problems in the theory of finite projective planes is to classify those having a group which acts transitively on the incident point-line pairs (flags). The conjecture is that the only ones are the Desarguesian projective planes (over a finite field). In this paper, we show that non-Desarguesian finite flag-transitive projective planes exist if and only if certain Fermat surfaces have no nontrivial rational points, and formulate several other equivalences...
Andreas Fischer (2008)
Annales Polonici Mathematici
Similarity:
Given an o-minimal expansion ℳ of a real closed field R which is not polynomially bounded. Let denote the definable indefinitely Peano differentiable functions. If we further assume that ℳ admits cell decomposition, each definable closed subset A of Rⁿ is the zero-set of a function f:Rⁿ → R. This implies approximation of definable continuous functions and gluing of functions defined on closed definable sets.