Almost semi-correspondence
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Sebastian Lindner
Abstract
Let X be a nonempty space. In the family of all topologies on X we can consider different kinds of relations. We examine almost semi-correspondence which is between known relations of similarity and semi-correspondence. We study this relation in the family of density-type topologies.
References
[1] A. Bartoszewicz, M. Filipczak, A. Kowalski and M. Terepeta, On similarity between topologies, Cent. Eur. J. Math. 12 (2014), no. 4, 603–610. 10.2478/s11533-013-0361-2Suche in Google Scholar
[2] S. G. Crossley and S. K. Hildebrand, Semi-topological properties, Fund. Math. 74 (1972), no. 3, 233–254. 10.4064/fm-74-3-233-254Suche in Google Scholar
[3] M. Filipczak, T. Filipczak and J. Hejduk, On the comparison of the density type topologies, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 52 (2004), no. 1, 37–46. Suche in Google Scholar
[4] M. Filipczak and J. Hejduk, On topologies associated with the Lebesgue measure, Tatra Mt. Math. Publ. 28 (2004), no. 2, 187–197. Suche in Google Scholar
[5] M. Filipczak, J. Hejduk and W. Wilczyński, On homeomorphisms of the density type topologies, Ann. Soc. Math. Pol. Ser. I Commentat. Math. 45 (2005), no. 2, 151–159. Suche in Google Scholar
[6] T. R. Hamlett, A correction to the paper: “Semi-open sets and semi-continuity in topological spaces” by Norman Levine, Proc. Amer. Math. Soc. 49 (1975), 458–460. 10.2307/2040665Suche in Google Scholar
[7] J. Hejduk, One more difference between measure and category, Tatra Mt. Math. Publ. 49 (2011), 9–15. 10.2478/v10127-011-0020-6Suche in Google Scholar
[8] J. Hejduk, On the abstract density topologies, Selected Papers of the 2010 International Conference and Its Applications, Technological Educational Institute (T.E.I.), Messolonghce (2012), 79–85. Suche in Google Scholar
[9] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36–41. 10.1080/00029890.1963.11990039Suche in Google Scholar
[10] S. Lindner and M. Terepeta, On the position of abstract density topologies in the lattice of all topologies, Filomat 30 (2016), no. 2, 281–286. 10.2298/FIL1602281LSuche in Google Scholar
[11] S. Saks, Theory of the Integral, Monografie Matematyczne, Warszawa, 1937. Suche in Google Scholar
[12] L. A. Steen and J. A. Seebach, Jr., Counterexamples in Topology. Reprint of the second 1978 edition, Dover Publications, Mineola, 1995. 10.1007/978-1-4612-6290-9Suche in Google Scholar
[13] W. Wilczyński, Density topologies, Handbook of Measure Theory. Vol. I and II, North-Holland, Amsterdam (2002), 675–702. 10.1016/B978-044450263-6/50016-6Suche in Google Scholar
© 2017 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Impulsive differential inclusions via variational method
- Frame properties of a part of an exponential system with degenerate coefficients in Hardy classes
- A note on two-variable Chebyshev polynomials
- Spectral analysis of dissipative fractional Sturm–Liouville operators
- Common best proximity pairs in strictly convex Banach spaces
- Traces of Muckenhoupt weighted function spaces in case of distant singularities
- The commutativity of prime Γ-rings with generalized skew derivations
- Δμ-sets and ∇μ-sets in generalized topological spaces
- On strong well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations with two independent variables
- Area properties associated with a convex plane curve
- Almost semi-correspondence
- The generalization of the Bernstein operator on any finite interval
- Some non-unique fixed point theorems of Ćirić type using rational-type contractive conditions
- On some properties of summability methods with variable order
- On the absolute convergence of Fourier series with respect to general orthonormal systems
Artikel in diesem Heft
- Frontmatter
- Impulsive differential inclusions via variational method
- Frame properties of a part of an exponential system with degenerate coefficients in Hardy classes
- A note on two-variable Chebyshev polynomials
- Spectral analysis of dissipative fractional Sturm–Liouville operators
- Common best proximity pairs in strictly convex Banach spaces
- Traces of Muckenhoupt weighted function spaces in case of distant singularities
- The commutativity of prime Γ-rings with generalized skew derivations
- Δμ-sets and ∇μ-sets in generalized topological spaces
- On strong well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations with two independent variables
- Area properties associated with a convex plane curve
- Almost semi-correspondence
- The generalization of the Bernstein operator on any finite interval
- Some non-unique fixed point theorems of Ćirić type using rational-type contractive conditions
- On some properties of summability methods with variable order
- On the absolute convergence of Fourier series with respect to general orthonormal systems
