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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 5

Proximately chain refinable functions

Abdulla Buklla
Gjorgji Markoski
Sayfa
1437–1442
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This generalizes a previous result of E.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We define proximately chain refinable functions as a generalization of refinable maps and investigate some of their properties for Hausdorff paracompact spaces.
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Temel Bulgular & Veri:We prove that the proximate fixed point property is preserved by proximate near homeomorphisms in paracompact Hausdorff spaces.
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Sonuç & Katkı:This generalizes a previous result of E.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:proximately chain refinable functions · proximate fixed point · near function

Abstract

We define proximately chain refinable functions as a generalization of refinable maps and investigate some of their properties for Hausdorff paracompact spaces. We prove that the proximate fixed point property is preserved by proximate near homeomorphisms in paracompact Hausdorff spaces. This generalizes a previous result of E. Grace.

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Bu Makaleye Atıf Yap

Buklla, A., Markoski, G. (2022). Proximately chain refinable functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 5, 1437–1442. https://ajindex.com/articles/530534

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Kaynakça (9)

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  5. E.E. Grace, Generalized refinable maps, Proc. Amer. Math. Soc. 98, 329–335, 1986
  6. E.E. Grace and E.J. Vought, Proximately refinable maps and $\theta_{n}'$-continua, Topology Proc. 15, 39–51, 1990
  7. R.W. Kieboom, An intrinsic characterization of the shape of paracompacta by menas of non-continuous single-valued maps, Bull. Belg. Math. Soc. Simon Stevin, 1, 701– 711, 1994
  8. V. Klee, Stability of the fixed-point property, Colloq. Math., 8, 43–46, 1961
  9. N. Shekutkovski, On the concept of the connectedness, Mat. Bilten, 50 (1), 5–14, 2016.