Research Article
BibTex RIS Cite

SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS

Year 2016, Volume: 4 Issue: 1, 155 - 163, 01.04.2016

Abstract

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.

References

  • [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.
Year 2016, Volume: 4 Issue: 1, 155 - 163, 01.04.2016

Abstract

References

  • [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.
There are 10 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Ayhan Erciyes

Ali Aytekin This is me

Tunçar Şahan

Publication Date April 1, 2016
Submission Date July 10, 2014
Published in Issue Year 2016 Volume: 4 Issue: 1

Cite

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. April 2016;4(1):155-163.
Chicago Erciyes, Ayhan, Ali Aytekin, and Tunçar Şahan. “SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS”. Konuralp Journal of Mathematics 4, no. 1 (April 2016): 155-63.
EndNote Erciyes A, Aytekin A, Şahan T (April 1, 2016) SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS. Konuralp Journal of Mathematics 4 1 155–163.
IEEE A. Erciyes, A. Aytekin, and T. Şahan, “SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS”, Konuralp J. Math., vol. 4, no. 1, pp. 155–163, 2016.
ISNAD Erciyes, Ayhan et al. “SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS”. Konuralp Journal of Mathematics 4/1 (April 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 et al. “SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS”. Konuralp Journal of Mathematics, vol. 4, no. 1, 2016, pp. 155-63.
Vancouver Erciyes A, Aytekin A, Şahan T. SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS. Konuralp J. Math. 2016;4(1):155-63.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.