A note on local pre-hausdorff limit spaces


EMİR A., Abughalwa H.

8th International Conference of Mathematical Sciences, ICMS 2024, Hybrid, Istanbul, Turkey, 11 - 15 September 2024, vol.3431, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • Volume: 3431
  • Doi Number: 10.1063/5.0290201
  • City: Hybrid, Istanbul
  • Country: Turkey
  • Keywords: category, limit space, PreT2 space, Topological category, wedge product
  • Erciyes University Affiliated: Yes

Abstract

In this paper, we show that given γi, i = 1, 2, 3 proper filter on the set T when there exist a proper filter φ on the wedge T âp T such that π1 â- Sp(φ) = γ1 = π1 â- Ap(φ), π2 â- Sp(φ) = γ3 and π2 â- Ap(φ) = γ2, where πi: T 2 → T (equation presented)is the i-Th projection i = 1, 2 and Sp, Ap are skewed and principal axes maps, respectively.