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Dergiler / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 3

Star versions of the Hurewicz basis covering property and strong measure zero spaces

Manoj BHARDWAJ
Alexander OSIPOV
Sayfa
1042–1053
Yayın Tarihi
2020-05-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also consider the star version of Hurewicz measure zero spaces and characterized these new spaces by the star-selection principle related to star-Hurewicz spaces.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper,we introduced the star version of the Hurewicz basis covering property,studied by Babinkostova, Ko?cinac, and Scheepers in 2004.
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Temel Bulgular & Veri:The authors obtained the relationship between star-selection principles and the star version of the Hurewicz basis covering property for metrizable spaces.
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Sonuç & Katkı:We also consider the star version of Hurewicz measure zero spaces and characterized these new spaces by the star-selection principle related to star-Hurewicz spaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:2004 Verileri
⚙️Değişkenler:Hurewicz basis property · star-Hurewicz basis property · Hurewicz measure zero spaces

Abstract

In this paper,we introduced the star version of the Hurewicz basis covering property,studied by Babinkostova, Ko?cinac, and Scheepers in 2004. The authors obtained the relationship between star-selection principles and the star version of the Hurewicz basis covering property for metrizable spaces. We also consider the star version of Hurewicz measure zero spaces and characterized these new spaces by the star-selection principle related to star-Hurewicz spaces.

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Bu Makaleye Atıf Yap

BHARDWAJ, M., OSIPOV, A. (2020). Star versions of the Hurewicz basis covering property and strong measure zero spaces. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 3, 1042–1053. https://ajindex.com/articles/193200

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Kaynakça (12)

  1. Miller AW, Fremlin DH. On some properties of Hurewicz, Menger, and Rothberger. Fundamenta Mathematicae 1988; 129 (1): 17-33
  2. Borel E. Sur la classification des ensembles de mesure nulle. Bulletin de la Socie´te´ Mathe´matique de France 1919; 47: 97-125 (in French). doi: 10.24033/bsmf.996 [3] Van Douwen EK, Reed GM, Roscoe AW, Tree IJ. Star covering properties. Topology and its Applications 1991; 39 (1): 71-103. doi: 10.1016/0166-8641(91)90077-Y [4] Gerlits J, Nagy Zs. Some properties of C(X), I. Topology and its Applications 1982; 14 (2): 151-161. doi: 10.1016/0166-8641(82)90065-7 [5] Kuratowski K. Topology. Vol. I. New York, NY, USA: Academic Press, 1966
  3. Babinkostova L, Kocˇinac LJDR, Scheepers M. Combinatorics of open covers (VIII). Topology and its Applications 2004; 140 (1): 15-32. doi: 10.1016/j.topol.2003.08019 [7] Kocˇinac LJD. Star-Menger and related spaces. Publicationes Mathematicae-Debrecen 1999; 55: 421-431
  4. Kocˇinac LJD. Selection principles in uniform spaces. Note di Matematica 2003; 22 (2): 127-139
  5. Kocˇinac LJDR. Star selection principles: A survey. Khayyam Journal of Mathematics 2015; 1 (1): 82-106
  6. Kocˇinac LJDR. The Pixley-Roy topology and selection principles. Questions and Answers in General Topology 2001; 19 (2): 219-225
  7. Kocˇinac LJDR, M. Scheepers. Combinatorics of open covers (VII): Groupability. Fundamenta Mathematicae 2003; 179 (2): 131-155
  8. Bhardwaj M, Tyagi BK, Singh S. Relativization of star-C -Hurewicz property in topological spaces. Bulletin of the Iranian Mathematical Society (in press)
  9. Bonanzinga M. Star-Lindelo¨f and absolutely star-Lindelo¨f spaces. Questions and Answers in General Topology 1998; 16: 79-104
  10. Bonanzinga M, Cammaroto F, Kocˇinac LJDR. Star-Hurewicz and related properties. Applied General Topology 2004; 5 (1): 79-89. doi: 10.4995/agt.2004.1996 [15] Sakai M. The weak Hurewicz property of Pixley-Roy hyperspaces. Topology and its Applications 2013; 160 (18): 2531-2537. doi: 10.1016/j.topol.2013.07.047 [16] Scheepers M. Combinatorics of open covers (I): Ramsey theory. Topology and its Applications 1996; 69 (1): 31-62. doi: 10.1016/0166-8641(95)00067-4 [17] Matveev MV. On properties similar to countable compactness and pseudocompactness. Vestnik MGU, Ser. Mat. Mekh. 1984; 2: 24-27
  11. Matveev MV. A survey on star covering properties. Topology Atlas 1998; 330
  12. Engelking R. General Topology. Revised and completed edition. Berlin, Germany: Heldermann Verlag,