Results 121 to 130 of about 4,715,878 (299)
ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan+3 more
wiley +1 more source
Fuzzy Hausdorff topological spaces
Abstract We introduce the notion of a fuzzy Hausdorff topological space and make a few observations to establish the appropriateness of this notion.
Arun K. Srivastava+2 more
openaire +2 more sources
Van der Waerden spaces and Hindman spaces are not the same
A Hausdorff topological space X is van der Waerden if for every sequence (x_n)_n in X there is a converging subsequence (x_n)_{n in A} where subset A of omega contains arithmetic progressions of all finite lengths.
Kojman, Menachem, Shelah, Saharon
core +1 more source
Attractors for an Energy‐Damped Viscoelastic Plate Equation
ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso+3 more
wiley +1 more source
Extension of Compact Operators from DF-spaces to C(K) spaces
It is proved that every compact operator from a DF-space, closed subspace of another DF-space, into the space C(K) of continuous functions on a compact Hausdorff space K can be extended to a compact operator of the total DF-space.
Fernando Garibay Bonales+1 more
doaj +1 more source
Sequentially Hausdorff and full sequentially Hausdorff spaces
In this paper, we define the notions of sequentially Hausdorff Space and full sequentially Hausdorff space. Also we give the relationships between these notions and Hausdorffness.
Akız, Hürmet Fulya, Koçak, Lokman
openaire +4 more sources
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley +1 more source
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli+2 more
wiley +1 more source
On connected irresolvable Hausdorff spaces [PDF]
Hewitt [2, p. 327] has raised, and Padmavally [4] has answered to the affirmative, the question of the existence of connected irresolvable Hausdorff spaces. The purpose of this note is to prove a general existence theorem for connected irresolvable Hausdorff spaces which shows that the class of such spaces is more numerous than previously supposed.
openaire +1 more source
On the first countability axiom for locally compact Hausdorff spaces [PDF]
F. Burton Jones
openalex +1 more source