Applied General Topology - Vol 02, No 1 (2001)
https://riunet.upv.es:443/handle/10251/81904
2019-11-16T02:30:02ZFlows equivalences
https://riunet.upv.es:443/handle/10251/81918
Flows equivalences
Soler López, Gabriel
[EN] Given a differential equation on an open set O of an n-manifold we can associate to it a pseudo-flow, that is, a flow whose trajectories may not be defined in the entire real line. In this paper we prove that this pseudo-flow is always equivalent to a flow with its trajectories defined in all R. This result extends a similar result of Vinograd stated in the n-dimensional Euclidean space.
2017-05-29T10:47:16ZWeak completeness of the Bourbaki quasi-uniformity
https://riunet.upv.es:443/handle/10251/81917
Weak completeness of the Bourbaki quasi-uniformity
Sánchez Granero, M.A.
[EN] The concept of semicompleteness (weaker than half-completeness) is defined for the Bourbaki quasi-uniformity of the hyperspace of a quasi-uniform space. It is proved that the Bourbaki quasi-uniformity is semicomplete in the space of nonempty sets of a quasi-uniform space (X,U) if and only if each stable filter on (X,U*) has a cluster point in (X,U). As a consequence the space of nonempty sets of a quasi-pseudometric space is semicomplete if and only if the space itself is half-complete. It is also given a characterization of semicompleteness of the space of nonempty U*-compact sets of a quasi-uniform space (X,U) which extends the well known Zenor-Morita theorem.
2017-05-29T10:43:01ZAttractor of reaction-diffusion equations in Banach spaces
https://riunet.upv.es:443/handle/10251/81913
Attractor of reaction-diffusion equations in Banach spaces
Valero, José
[EN] In this paper we prove first some abstract theorems on existence of global attractors for differential inclusions generated by w-dissipative operators. Then these results are applied to reaction-diffusion equations in which the Babach space Lp is used as phase space. Finally, new results concerning the fractal dimension of the global attractor in the space L2 are obtained.
2017-05-29T10:35:27ZA contribution to the study of fuzzy metric spaces
https://riunet.upv.es:443/handle/10251/81912
A contribution to the study of fuzzy metric spaces
Sapena Piera, Almanzor
[EN] We give some examples nad properties of fuzzy metric spaces, in the sense of George and Veramani, and characterize the To topological spaces which admit a compatible uniformity that has a countable transitive base, in terms of the fuzzy theory.
2017-05-29T10:25:10ZNew results on topological dynamics of antitriangular maps
https://riunet.upv.es:443/handle/10251/81910
New results on topological dynamics of antitriangular maps
Balibrea, Francisco; Cánovas, J.S.; Linero, A.
[EN] We present some results concerning the topological dynamics of antitriangular maps, F:X2→ X2 with the formvF(x,y)=(g(y),f(x)), where (X,d) is a compact metric space and f,g : X→ X are continuous maps. We make an special analysis in the case of X = [0,1].
2017-05-29T10:16:20ZCommon fixed point theorems for a countable family of fuzzy mappings
https://riunet.upv.es:443/handle/10251/81909
Common fixed point theorems for a countable family of fuzzy mappings
Vidal, Anna
[EN] In this paper we prove fixed point theorems for countable families of fuzzy mappings satisfying contractive-type conditions and a rational inequality in left K-sequentially complete quasi-pseudo-metric spaces. These results generalize the corresponding ones obtained by others authors.
2017-05-29T10:14:16ZF-points in countably compact spaces
https://riunet.upv.es:443/handle/10251/81908
F-points in countably compact spaces
Bella, Angelo; Malykhin, V.I.
[EN] Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a compact space with countable tightness is discrete.
2017-05-29T10:10:49ZContinuous representability of complete preorders on the space of upper-continuous capacities
https://riunet.upv.es:443/handle/10251/81907
Continuous representability of complete preorders on the space of upper-continuous capacities
Bosi, Gianni; Isler, Romano
[EN] Given a compact metric space (X, d), and its Borel σ-algebra Σ, we discuss the existence of a (semi)continuous utility function U for a complete preorder ≤ on a subset M’(X) of the space M(X) of all upper-continuous capacities on Σ, endowed with the weak topology.
2017-05-29T10:08:26ZFell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence
https://riunet.upv.es:443/handle/10251/81906
Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence
Rodríguez-López, Jesús
[EN] We study the double Fell topology when this hypertopology is constructed over a quasi-pseudo-metric space. In particular, its relationship with the Wijsman hypertopology is studied. We also propose an extension of the Kuratowski-Painlevé convergence in the bitopological setting.
2017-05-29T10:06:17ZOn topological sequence entropy of circle maps
https://riunet.upv.es:443/handle/10251/81905
On topological sequence entropy of circle maps
Cánovas, José S.
[EN] We classify completely continuous circle maps from the point of view of topological sequence entropy. This improves a result of Roman Hric.
2017-05-29T09:59:43Z