SavedAdd your journal

Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 2

T4 , Urysohn’s lemma, and Tietze extension theorem for constant filter convergence spaces

Tesnim Meryem BARAN
Ayhan ERCİYES
Pages
843–855
Publication Date
2022-11-04
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we present Urysohn’s lemmaand Tietze extension theorem for constant filter convergence spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we characterize various local forms of T4 constant filter convergence spaces and investigate therelationships among them as well as showing that the full subcategories of the category of constant filter convergencespaces consisting of local T4 constant filter convergence spaces that are hereditary.
📊
Key Findings & Data:Furthermore, we examine therelationship between local T4 and general T4 constant filter convergence spaces.
💡
Conclusion & Impact:Finally, we present Urysohn’s lemmaand Tietze extension theorem for constant filter convergence spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we characterize various local forms of T4 constant filter convergence spaces and investigate therelationships among them as well as showing that the full subcategories of the category of constant filter convergencespaces consisting of local T4 constant filter convergence spaces that are hereditary. Furthermore, we examine therelationship between local T4 and general T4 constant filter convergence spaces. Finally, we present Urysohn’s lemmaand Tietze extension theorem for constant filter convergence spaces.

🔖

Cite This Article

BARAN, T. M., ERCİYES, A. (2022). T4 , Urysohn’s lemma, and Tietze extension theorem for constant filter convergence spaces. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 2, 843–855. https://ajindex.com/articles/607327

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. Adamek J, Herrlich H, Strecker GE. Abstract and Concrete Categories. New York, NY, USA: Wiley, 1990
  2. Baran M. Stacks and filters. Turkish Journal of Mathematics-Doğa 1992; 16 (2): 95-108
  3. Baran M. Separation properties. Indian Journal Pure Applied Mathematics 1991; 23 (5): 333-341
  4. Baran M. Separation properties in topological categories. Mathematica Balkanica 1996; 10: 39-48
  5. Baran M. The notion of closedness in topological categories. Commentationes Mathematicae Universitatis Carolinae 1993; 34 (2): 383-395
  6. Baran M. T3 and T4 objects in topological categories. Indian Journal of Pure and Applied Mathematics 1998; 29 (1): 59-69
  7. Baran M. Separation properties in categories of constant convergence spaces. Turkish Journal of Mathematics 1994; 18: 238-248
  8. Baran M. Compactness, perfectness, separation, minimality and closedness with respect to closure operators. Applied Categorical Structures 2002; 10: 403-415. doi: 10.1023/A:1016388102703 [9] Baran M. Completely regular objects and normal objects in topological categories. Acta Mathematics Hungarica 1998; 80 (3): 211-224. doi: 10.1023/A:1006550726143 [10] Baran M, Kula M. A note on connectedness. Publicationes Mathematicae Debrecen 2006; 68 (3-4): 489-501
  9. Erciyes A, Baran TM. Local T3 constant filter convergence spaces. Gazi University Journal of Science 2020; 33 (2): 446-454. doi: 10.35378/gujs. 602155 [12] Erciyes A, Baran TM and Qasim M. Closure operators in constant filter convergence spaces. Konuralp Journal of Mathematics 2020; 8 (1): 185-191
  10. Nel LD. Initially structured categories and cartesian closedness. Canadian Journal of Mathematics 1975; 27: 1361- 1377. doi: 10.4153/CJM-1975-139-9 [14] Schwarz F. Connections between convergence and nearness. The Series Lecture Notes in Mathematics 1978; 719: 345-354. doi: 10.1007/BFb0065285