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    Wyświetlanie 1-11 z 11
    Tytuł:
    Size levels for arcs
    Autorzy:
    Nadler, Sam
    West, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/1214951.pdf
    Data publikacji:
    1992
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    hyperspace
    cyclic elements
    absolute retract
    Opis:
    We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.
    Źródło:
    Fundamenta Mathematicae; 1992, 141, 3; 243-255
    0016-2736
    Pojawia się w:
    Fundamenta Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The space of ANR’s in $ℝ^n$
    Autorzy:
    Dobrowolski, Tadeusz
    Rubin, Leonard
    Powiązania:
    https://bibliotekanauki.pl/articles/1208440.pdf
    Data publikacji:
    1994
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    hyperspace
    absolute neighborhood retract
    absolute retract
    $G_{δσ δ}$-set
    absorber
    Opis:
    The hyperspaces $ANR(ℝ^n)$ and $AR(ℝ^n)$ in $2^{ℝ^n} (n ≥ 3)$ consisting respectively of all compact absolute neighborhood retracts and all compact absolute retracts are studied. It is shown that both have the Borel type of absolute $G_{δσ δ}$-spaces and that, indeed, they are not $F_{σ δσ }$-spaces. The main result is that $ANR(ℝ^n)$ is an absorber for the class of all absolute $G_{δσ δ}$-spaces and is therefore homeomorphic to the standard model space $Ω_3$ of this class.
    Źródło:
    Fundamenta Mathematicae; 1994-1995, 146, 1; 31-58
    0016-2736
    Pojawia się w:
    Fundamenta Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On absolute retracts and absolute convex retracts in some classes of l-groups
    Autorzy:
    Jakubík, Ján
    Powiązania:
    https://bibliotekanauki.pl/articles/728952.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    l-group
    absolute retract
    absolute convex retract
    archimedean l-group
    complete l-group
    orthogonal completeness
    Opis:
    By dealing with absolute retracts of l-groups we use a definition analogous to that applied by Halmos for the case of Boolean algebras. The main results of the present paper concern absolute convex retracts in the class of all archimedean l-groups and in the class of all complete l-groups.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 1; 19-30
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On a complete lattice of retracts of a free monoid generated by three elements
    Autorzy:
    Foryś, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/255748.pdf
    Data publikacji:
    2008
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    free monoid
    retract
    lattice
    complete lattice
    Opis:
    We prove that the family of retracts of a free monoid generated by three elements, partially ordered with respect to the inclusion, is a complete lattice.
    Źródło:
    Opuscula Mathematica; 2008, 28, 2; 123-127
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence results for delay second order differential inclusions
    Autorzy:
    Azzam-Laouir, Dalila
    Haddad, Tahar
    Powiązania:
    https://bibliotekanauki.pl/articles/729461.pdf
    Data publikacji:
    2008
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    boundary-value problems
    delay differential inclusions
    fixed point
    retract
    Opis:
    In this paper, some fixed point principle is applied to prove the existence of solutions for delay second order differential inclusions with three-point boundary conditions in the context of a separable Banach space. A topological property of the solutions set is also established.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2008, 28, 1; 133-146
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Schauder fixed point theorem
    Autorzy:
    Górniewicz, Lech
    Rozpłoch-Nowakowska, Danuta
    Powiązania:
    https://bibliotekanauki.pl/articles/1358988.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    absolute retract
    set-valued operators
    degree
    fixed point
    Opis:
    The paper contains a survey of various results concerning the Schauder Fixed Point Theorem for metric spaces both in single-valued and multi-valued cases. A number of open problems is formulated.
    Źródło:
    Banach Center Publications; 1996, 35, 1; 207-219
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A retract principle on discrete time scales
    Autorzy:
    Diblik, J.
    Ruzickova, M.
    Vaclavikova, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/255911.pdf
    Data publikacji:
    2006
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    discrete equation
    discrete time scale
    asymptotic behavior of solution
    retract
    retraction
    Opis:
    In this paper we discuss asymptotic behavior of solutions of a class of scalar discrete equations on discrete real time scales. A powerful tool for the investigation of various qualitative problems in the theory of ordinary differential equations as well as delayed differential equations is the retraction method. The development of this method is discussed in the case of the equation mentioned above. Conditions for the existence of a solution with its graph remaining in a predefined set are formulated. Examples are given to illustrate the results obtained.
    Źródło:
    Opuscula Mathematica; 2006, 26, 3; 445-455
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the disjoint (0,N)-cells property for homogeneous ANRs
    Autorzy:
    Krupski, Paweł
    Powiązania:
    https://bibliotekanauki.pl/articles/967209.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    absolute neighborhood retract
    generalized manifold
    homogeneous space
    disjoint cells property
    $LC^n$-space
    Opis:
    A metric space (X,ϱ) satisfies the disjoint (0,n)-cells property provided for each point x ∈ X, any map f of the n-cell $B^{n}$ into X and for each ε > 0 there exist a point y ∈ X and a map $g:B^{n} → X$ such that ϱ(x,y) < ε, $\widehat{ϱ}(f,g) < ε$ and $y ∉ g(B^{n})$. It is proved that each homogeneous locally compact ANR of dimension >2 has the disjoint (0,2)-cells property. If dimX = n > 0, X has the disjoint (0,n-1)-cells property and X is a locally compact $LC^{n-1}$-space then local homologies satisfy $H_{k}(X,X-x) = 0$ for k < n and H_{n}(X,X-x) ≠ 0.
    Źródło:
    Colloquium Mathematicum; 1993, 66, 1; 77-84
    0010-1354
    Pojawia się w:
    Colloquium Mathematicum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dugundji extenders and retracts on generalized ordered spaces
    Autorzy:
    Gruenhage, Gary
    Hattori, Yasunao
    Ohta, Haruto
    Powiązania:
    https://bibliotekanauki.pl/articles/1205292.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Dugundji extension property
    linear extender
    π-embedding
    retract
    measurable cardinal
    generalized ordered space
    perfectly normal
    product
    Opis:
    For a subspace A of a space X, a linear extender φ:C(A) → C(X) is called an $L_{ch}$-extender (resp. $L_{cch}$-extender) if φ(f)[X] is included in the convex hull (resp. closed convex hull) of f[A] for each f ∈ C(A). Consider the following conditions (i)-(vii) for a closed subset A of a GO-space X: (i) A is a retract of X; (ii) A is a retract of the union of A and all clopen convex components of X\A; (iii) there is a continuous $L_{ch}$-extender φ:C(A × Y) → C(X × Y), with respect to both the compact-open topology and the pointwise convergence topology, for each space Y; (iv) A × Y is C*-embedded in X × Y for each space Y; (v) there is a continuous linear extender $φ:C*_{k}(A) → C_{p}(X)$; (vi) there is an $L_{ch}$-extender φ:C(A) → C(X); and (vii) there is an $L_{cch}$-extender φ:C(A) → C(X). We prove that these conditions are related as follows: (i)⇒(ii)⇔(iii)⇔(iv)⇔(v)⇒(vi)⇒(vii). If A is paracompact and the cellularity of A is nonmeasurable, then (ii)-(vii) are equivalent. If there is no connected subset of X which meets distinct convex components of A, then (ii) implies (i). We show that van Douwen's example of a separable GO-space satisfies none of the above conditions, which answers questions of Heath-Lutzer [9], van Douwen [1] and Hattori [8].
    Źródło:
    Fundamenta Mathematicae; 1998, 158, 2; 147-164
    0016-2736
    Pojawia się w:
    Fundamenta Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On dually compact closed classes of graphs and BFS-constructible graphs
    Autorzy:
    Polat, Norbert
    Powiązania:
    https://bibliotekanauki.pl/articles/743184.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    infinite graph
    dismantlable graph
    constructible graph
    BFS-cons-tructible graph
    variety
    weak-retract
    strong product
    bridged graph
    Helly graph
    weakly-modular graph
    dually compact closed class
    Opis:
    A class C of graphs is said to be dually compact closed if, for every infinite G ∈ C, each finite subgraph of G is contained in a finite induced subgraph of G which belongs to C. The class of trees and more generally the one of chordal graphs are dually compact closed. One of the main part of this paper is to settle a question of Hahn, Sands, Sauer and Woodrow by showing that the class of bridged graphs is dually compact closed. To prove this result we use the concept of constructible graph. A (finite or infinite) graph G is constructible if there exists a well-ordering ≤ (called constructing ordering) of its vertices such that, for every vertex x which is not the smallest element, there is a vertex y < x which is adjacent to x and to every neighbor z of x with z < x. Finite graphs are constructible if and only if they are dismantlable. The case is different, however, with infinite graphs. A graph G for which every breadth-first search of G produces a particular constructing ordering of its vertices is called a BFS-constructible graph. We show that the class of BFS-constructible graphs is a variety (i.e., it is closed under weak retracts and strong products), that it is a subclass of the class of weakly modular graphs, and that it contains the class of bridged graphs and that of Helly graphs (bridged graphs being very special instances of BFS-constructible graphs). Finally we show that the class of interval-finite pseudo-median graphs (and thus the one of median graphs) and the class of Helly graphs are dually compact closed, and that moreover every finite subgraph of an interval-finite pseudo-median graph (resp. a Helly graph) G is contained in a finite isometric pseudo-median (resp. Helly) subgraph of G. We also give two sufficient conditions so that a bridged graph has a similar property.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2003, 23, 2; 365-381
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Retracts and Q-independence
    Autorzy:
    Chwastyk, Anna
    Powiązania:
    https://bibliotekanauki.pl/articles/728880.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    general algebra
    term function
    Q-independence
    M, I, S, S₀, A₁, G-independence
    t-independence
    retraction
    retract
    Stone algebra
    skeleton and set of dense element of Stone algebra
    Glivenko congruence
    Opis:
    A non-empty set X of a carrier A of an algebra A is called Q-independent if the equality of two term functions f and g of the algebra A on any finite system of elements a₁,a₂,...,aₙ of X implies f(p(a₁),p(a₂),...,p(aₙ)) = g(p(a₁),p(a₂),...,p(aₙ)) for any mapping p ∈ Q. An algebra B is a retract of A if B is the image of a retraction (i.e. of an idempotent endomorphism of B). We investigate Q-independent subsets of algebras which have a retraction in their set of term functions.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2007, 27, 2; 235-243
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-11 z 11

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