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Journals / Konuralp Journal of Mathematics / 2016 / Cilt: 4 - Sayı: 1

SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS

Ayhan ERCİYES
Ali AYTEKİN
Tunçar ŞAHAN
Pages
155–163
Publication Date
2016-04-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study we introduce the notions of semi-homotopy of semi- continuous maps and of semi-paths.
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Key Findings & Data:In this study we introduce the notions of semi-homotopy of semi- continuous maps and of semi-paths.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Semi-open sets · semi-closed sets · homotopy

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.

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Cite This Article

ERCİYES, A., AYTEKİN, A., ŞAHAN, T. (2016). SEMI-HOMOTOPY AND SEMI-FUNDAMENTAL GROUPS. Konuralp Journal of Mathematics, Cilt: 4 - Sayı: 1, 155–163. https://ajindex.com/articles/786696

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References (10)

  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.