Abstract
The paper points out the methodological aspects of soft topological spaces which are defined over an initial universe set U with a fixed set of parameters E. The basic change of view is due to the fact that soft topology is actually a topology on the product of two sets, and in many cases, standard methods of general topology can be applied. Furthermore, in many papers some notions are introduced by different ways and it would be good to give a unified approach for a transfer of topological notions to a soft set theory and to create a bridge between general topology and soft set theory. On the other hand, not all counterparts of soft concepts are studied on classical topology and some types of separation axioms support this fact.
Similar content being viewed by others
Change history
26 February 2021
A Correction to this paper has been published: https://doi.org/10.1007/s00500-021-05646-z
References
Al Ghour S, Bin-Saadon A (2019) On some generated soft topological spaces and soft homogeneity. Heliyon 5:e02061
Al-shami TM (2019a) Comments on “Soft mappings spaces”. Sci World J 2019: Article ID 6903809
Al-shami TM (2019b) Investigation and corrigendum to some results related to g-soft equality and gf-soft equality relations. Filomat 33(11):3375–3383
Al-shami TM (2020) Comments on some results related to soft separation axioms. Afr Mat 31:1105–1119
Al-shami TM, El-Shafei ME (2020a) Partial belong relation on soft separation axioms and decision-making problem, two birds with one stone. Soft Comput 24:5377–5387
Al-shami TM, El-Shafei ME (2020b) T-soft equality relation. Turk J Math 44(4):1427–1441
Al-shami TM, Kočinac LDR (2019) The equivalence between the enriched and extended soft topologies. Appl Comput Math 18(2):149–162
Al-shami TM, Kočinac LDR (2020) Nearly soft Menger spaces. J Math 2020: Article ID 3807418
Al-shami TM, El-Shafei ME, Abo-Elhamayel M (2018) Almost soft compact and approximately soft Lindelöf spaces. J Taibah Univ Sci 12(5):620–630
Al-shami TM, El-Shafei ME, Asaad BA (2020a) Sum of soft topological ordered spaces. Adv Math Sci J 9(7):4695–4710
Al-shami TM, Kočinac LDR, Assad BA (2020b) Sum of soft topological spaces. Mathematics 8(6):990. https://doi.org/10.3390/math8060990
Cammaroto F, Santoro G (1996) Some counterexamples and properties on generalizations of Lindelöf spaces. Int J Math Sci 19(4):737–746
El-Shafei ME, Al-shami TM (2020) Applications of partial belong and total non-belong relations on soft separation axioms and decision-making problem. Comput Appl Math 39:138. https://doi.org/10.1007/s40314-020-01161-3
El-Shafei ME, Abo-Elhamayel M, Al-shami TM (2018a) Partial soft separation axioms and soft compact spaces. Filomat 32(13):4755–4771
El-Shafei ME, Abo-Elhamayel M, Al-shami TM (2018b) Two notes “On soft Hausdorff spaces.”. Ann Fuzzy Math Inform 16(3):333–336
Engelking R (1977) General topology. Polska Akademia Nauk. Institut Matematiczny, Warszawa, pp 103–106
Matejdes M (2016) Soft topological space and topology on the Cartesian product. Hacettepe J Math Stat 45(4):1091–1100
Shi FG, Pang B (2015) A note on soft topoloical spaces. Iran J Fuzzy Syst 12(5):149–155
Terepeta M (2019) On separating axioms and similarity of soft topological spaces. Soft Comput 23:1049–1057
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The author declares that he has no conflict of interest.
Ethical approval
This article does not contain any studies with human participants or animals performed by the author.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
The original article has been updated: Due to author family name update.
Rights and permissions
About this article
Cite this article
Matejdes, M. Methodological remarks on soft topology. Soft Comput 25, 4149–4156 (2021). https://doi.org/10.1007/s00500-021-05587-7
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-021-05587-7