Applied General Topology - Vol 13, No 2 (2012)
Tabla de contenidos
- Supersymmetry and the Hopf fibration
- Computational Topology Counterexamples with 3D Visualization of Bézier Curves
- Continuous isomorphisms onto separable groups
- Common fixed points for generalized (v,o)-weak contractions in ordered cone metric spaces
- Classification of separately continuous mappings with values in o-metrizable spaces
- Weak partial metric spaces and some fixed point results
- Tripled coincidence and fixed point results in partial metric spaces
- Compactification of closed preordered spaces
- Correction to: Some results and examples concerning Whyburn spaces
URI permanente para esta colecciónhttps://riunet.upv.es/handle/10251/87279
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Item type: Artículo , Access status: Abierto , Correction to: Some results and examples concerning Whyburn spaces(Universitat Politècnica de València, 2012-10-01) Alas, Ofelia T.; Madriz-Mendoza, Maira; Wilson, Richard G.[EN] We correct the proof of Theorem 2.9 of the paper mentioned in the title (published in Applied General Topology, 13 No.1 (2012), 11-19).Item type: Artículo , Access status: Abierto , Compactification of closed preordered spaces(Universitat Politècnica de València, 2012-10-01) Minguzzi, E.; Gruppo Nazionale per la Fisica Matematica; Istituto Nazionale di Alta Matematica "F. Severi", Italia[EN] A topological preordered space admits a Hausdorff T2-preorder compactification if and only if it is Tychonoff and the preorder is represented by the family of continuous isotone functions. We construct the largest Hausdorff T2-preorder compactification for these spaces and clarify its relation with Nachbin’s compactification. Under local compactness the problem of the existence and identification of the smallest Hausdorff T2-preorder compactification is considered.Item type: Artículo , Access status: Abierto , Tripled coincidence and fixed point results in partial metric spaces(Universitat Politècnica de València, 2012-10-01) Aydi, Hassen; Abbas, Mujahid[EN] In this paper, we introduce the concept of W-compatiblity of mappings F : X × X × X ! X and g : X ! X and based on this notion, we obtain tripled coincidence and common tripled fixed point results in the setting of partial metric spaces. The presented results generalize and extend several well known comparable results in the existing literature. We also provide an example to support our results.Item type: Artículo , Access status: Abierto , Weak partial metric spaces and some fixed point results(Universitat Politècnica de València, 2012-10-01) Altun, Ishak; Durmaz, Gonca[EN] The concept of partial metric p on a nonempty set X was introduced by Matthews. One of the most interesting properties of a partial metric is that p(x, x) may not be zero for x e X. Also, each partial metric p on a nonempty set X generates a T0 topology on X. By omitting the small self-distance axiom of partial metric, Heckmann defined the weak partial metric space. In the present paper, we give some fixed point results on weak partial metric spaces.Item type: Artículo , Access status: Abierto , Classification of separately continuous mappings with values in o-metrizable spaces(Universitat Politècnica de València, 2012-10-01) Karlova, Olena[EN] We prove that every vertically nearly separately continuous mapping defined on a product of a strong PP-space and a topological space and with values in a strongly o-metrizable space with a special stratification, is a pointwise limit of continuous mappings.Item type: Artículo , Access status: Abierto , Common fixed points for generalized (v,o)-weak contractions in ordered cone metric spaces(Universitat Politècnica de València, 2012-10-01) Nashine, Hemant Kumar; Aydi, Hassen[EN] The purpose of this paper is to establish coincidence point and common fixed point results for four maps satisfying generalized (v,o)-weak contractions in partially ordered cone metric spaces. Also, some illustrative examples are presented.Item type: Artículo , Access status: Abierto , Continuous isomorphisms onto separable groups(Universitat Politècnica de València, 2012-10-01) Morales López, Luis Felipe[EN] A condensation is a one-to-one continuous function onto. We give sufficient conditions for a Tychonoff space to admit a condensation onto a separable dense subspace of the Tychonoff cube Ic and discuss the differences that arise when we deal with topological groups, where condensation is understood as a continuous isomorphism. We also show that every Abelian group G with |G| 2c admits a separable, precompact, Hausdorff group topology, where c = 2!.Item type: Artículo , Access status: Abierto , Computational Topology Counterexamples with 3D Visualization of Bézier Curves(Universitat Politècnica de València, 2012-10-01) Li, J.; Peters, T.J.; Marsh, D.; Jordan, K.E.; National Science Foundation, EEUU[EN] For applications in computing, Bézier curves are pervasive and are defined by a piecewise linear curve L which is embedded in R3 and yields a smooth polynomial curve C embedded in R3. It is of interest to understand when L and C have the same embeddings. One class ofc ounterexamples is shown for L being unknotted, while C is knotted. Another class of counterexamples is created where L is equilateral and simple, while C is self-intersecting. These counterexamples were discovered using curve visualizing software and numerical algorithms that produce general procedures to create more examples.Item type: Artículo , Access status: Abierto , Supersymmetry and the Hopf fibration(Universitat Politècnica de València, 2012-10-01) Davis, Simon[EN] The Serre spectral sequence of the Hopf fibration S15 S7→S8 is computed. It is used in a study of supersymmetry and actions based on this fibration.