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Applied General Topology
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Applied General Topology - Vol 19, No 1 (2018)
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Applied General Topology - Vol 19, No 1 (2018): Enviados recientemente

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Some aspects of Isbell-convex quasi-metric spaces

Olela Otafudu, Olivier (Universitat Politècnica de València, 2018-04-02)

[EN] We introduce and investigate the concept of geodesic bicombing in T0-quasi-metric spaces. We prove that any Isbell-convex T0-quasi-metric space admits a geodesic bicombing which satisfies the equivariance property. ...
Fixed point theorems for nonlinear contractions with applications to iterated function systems

Pant, Rajendra (Universitat Politècnica de València, 2018-04-02)

[EN] We introduce a new type of nonlinear contraction and present some fixed point results without using continuity or semi-continuity. Our result complement, extend and generalize a number of fixed point theorems including ...
Few remarks on maximal pseudocompactness

Bella, Angelo (Universitat Politècnica de València, 2018-04-02)

[EN] A pseudocompact space is maximal pseudocompact if every strictly finer topology is no longer pseudocompact. The main result here is a counterexample which answers a question rised by Alas, Sanchis and Wilson.
k-semistratifiable spaces and expansions of set-valued mappings

Yan, Peng-Fei; Hu, Xing-Yu; Xie, Li-Hong (Universitat Politècnica de València, 2018-04-02)

[EN] In this paper, the concept of k-upper semi-continuous set-valued mappings is introduced. Using this concept, we give characterizations of k-semistratifiable and k-MCM spaces, which answers a question posed by Xie and Yan.
Characterization of quantale-valued metric spaces and quantale-valued partial metric spaces by convergence

Jäger, Gunther; Ahsanullah, T. M. G. (Universitat Politècnica de València, 2018-04-02)

[EN] We identify two categories of quantale-valued convergence tower spaces that are isomorphic to the categories of quantale-valued metric spaces and quantale-valued partial metric spaces, respectively. As an application ...