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SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS

Yıl 2016, Cilt: 4 Sayı: 1, 155 - 163, 01.04.2016

Öz

In this study we introduce the notions of semi-homotopy of semi- continuous maps and of semi-paths. We also construct a group structure, which will be called semi-fundamental group, using semi-loops and explore some properties of semi-homotopy and semi-fundamental groups.

Kaynakça

  • [1] Bhattacharyya, P. and Lahiri, B.K., Semi-generalized closed sets in topology, lnd. Jr. Math., 29 (1987), 375{382.
  • [2] Brown, R., Topology and groupoids, BookSurge LLC, North Carolina, 2006.
  • [3] Csaszar, A., Generalized open sets, Acta Mathematica Hungarica, 75(1), (1997), 65{87.
  • [4] Crossley, S. and Hildebrand, S.K., Semi-closure, Texas J. Sci. 22 (1971), 99{112.
  • [5] Crossley, S. and Hildebrand, S.K., Semi-topological properties, Fundamenta Mathematicae 74(3) (1972), 233{254.
  • [6] Hatcher, A., Algebraic topology, Cambridge University Press, 2002.
  • [7] Levine, N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36{41.
  • [8] Maheshawari, S.M.N. and Prasad, R., Some new separation axioms, Ann. Soco. Sci. Bruxelles 89 (1975), 395{402.
  • [9] Rotman, J.J., An introduction to algebraic topology, Springer, 1988.
  • [10] Scheers, J.M., An exploration of semi-open sets in topological spaces, M.Sc. Thesis, Stephen F. Austin State University, 2011.
Yıl 2016, Cilt: 4 Sayı: 1, 155 - 163, 01.04.2016

Öz

Kaynakça

  • [1] Bhattacharyya, P. and Lahiri, B.K., Semi-generalized closed sets in topology, lnd. Jr. Math., 29 (1987), 375{382.
  • [2] Brown, R., Topology and groupoids, BookSurge LLC, North Carolina, 2006.
  • [3] Csaszar, A., Generalized open sets, Acta Mathematica Hungarica, 75(1), (1997), 65{87.
  • [4] Crossley, S. and Hildebrand, S.K., Semi-closure, Texas J. Sci. 22 (1971), 99{112.
  • [5] Crossley, S. and Hildebrand, S.K., Semi-topological properties, Fundamenta Mathematicae 74(3) (1972), 233{254.
  • [6] Hatcher, A., Algebraic topology, Cambridge University Press, 2002.
  • [7] Levine, N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36{41.
  • [8] Maheshawari, S.M.N. and Prasad, R., Some new separation axioms, Ann. Soco. Sci. Bruxelles 89 (1975), 395{402.
  • [9] Rotman, J.J., An introduction to algebraic topology, Springer, 1988.
  • [10] Scheers, J.M., An exploration of semi-open sets in topological spaces, M.Sc. Thesis, Stephen F. Austin State University, 2011.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Ayhan Erciyes

Ali Aytekin Bu kişi benim

Tunçar Şahan

Yayımlanma Tarihi 1 Nisan 2016
Gönderilme Tarihi 10 Temmuz 2014
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 1

Kaynak Göster

APA Erciyes, A., Aytekin, A., & Şahan, T. (2016). SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS. Konuralp Journal of Mathematics, 4(1), 155-163.
AMA Erciyes A, Aytekin A, Şahan T. SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS. Konuralp J. Math. Nisan 2016;4(1):155-163.
Chicago Erciyes, Ayhan, Ali Aytekin, ve Tunçar Şahan. “SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS”. Konuralp Journal of Mathematics 4, sy. 1 (Nisan 2016): 155-63.
EndNote Erciyes A, Aytekin A, Şahan T (01 Nisan 2016) SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS. Konuralp Journal of Mathematics 4 1 155–163.
IEEE A. Erciyes, A. Aytekin, ve T. Şahan, “SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS”, Konuralp J. Math., c. 4, sy. 1, ss. 155–163, 2016.
ISNAD Erciyes, Ayhan vd. “SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS”. Konuralp Journal of Mathematics 4/1 (Nisan 2016), 155-163.
JAMA Erciyes A, Aytekin A, Şahan T. SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS. Konuralp J. Math. 2016;4:155–163.
MLA Erciyes, Ayhan vd. “SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS”. Konuralp Journal of Mathematics, c. 4, sy. 1, 2016, ss. 155-63.
Vancouver Erciyes A, Aytekin A, Şahan T. SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS. Konuralp J. Math. 2016;4(1):155-63.
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