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Applied General Topology
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Applied General Topology - Vol 02, No 1 (2001)
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Applied General Topology - Vol 02, No 1 (2001): Enviados recientemente

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New results on topological dynamics of antitriangular maps

Balibrea, Francisco; Cánovas, J.S.; Linero, A. (Universitat Politècnica de València, 2001-04-01)

[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 ...
Common fixed point theorems for a countable family of fuzzy mappings

Vidal, Anna (Universitat Politècnica de València, 2001-04-01)

[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 ...
F-points in countably compact spaces

Bella, Angelo; Malykhin, V.I. (Universitat Politècnica de València, 2001-04-01)

[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.
Continuous representability of complete preorders on the space of upper-continuous capacities

Bosi, Gianni; Isler, Romano (Universitat Politècnica de València, 2001-04-01)

[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 ...
Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence

Rodríguez-López, Jesús (Universitat Politècnica de València, 2001-04-01)

[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 ...