KARAKTERISTIK RUANG HAUSDORFF KOMPAK
Keywords:
Kekompakan, ruang Hausdorff, ruang topologi.
Abstract
Misal (ð». ðœ) adalah suatu ruang topologi, ð» disebut ruang Hausdorff jika untuk setiap ð‘¥, 𑦠∈ ð» dimana 𑥠≠𑦠terdapat dua himpunan buka ð‘ˆ, 𑉠∈ ðœ dan 𑈠∩ 𑉠= ∅ sedemikian sehingga 𑥠∈ 𑈠dan 𑦠∈ ð‘‰. Selanjutnya dengan memanfaatkan sifat kekompakan dalam suatu ruang topologi maka akan ditinjau karakteristik suatu ruang Hausdorff yang dilengkapi oleh sifat kekompakan ini. Lebih lanjut, suatu ruang Hausdorff yang dilengkapi dengan sifat kompak disebut ruang Hausdorff kompak
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References
[1] H. M. Bouselina, “On Collectionwise Hausdorff Bitopological Spaces,†Malaysian Journal of Mathematical Sciences, pp. 137-145, 2012.
[2] J. R. Munkres, Topology, Edisi ke-2, Upper Saddle River: Prentice Hall, 2000.
[3] S. Lipschutz, Theory and Problems of General Topology, New York: McGraw-Hill Book Company, 1965.
[4] R. G. Bartle, Introduction to Real Analysis, Edisi ke-3, New York: John Wiley & Sons Inc., 2000.
[5] R. F. Dickman dan J. R. Porter, “θ-Closed Subsets of Hausdorff Spaces,†Pacific Journal of Mathematics, pp. 407-416, 1975.
[6] S. T. Hu, Element of General Topology, San Fransisco: Holden-Day, 1964.
[2] J. R. Munkres, Topology, Edisi ke-2, Upper Saddle River: Prentice Hall, 2000.
[3] S. Lipschutz, Theory and Problems of General Topology, New York: McGraw-Hill Book Company, 1965.
[4] R. G. Bartle, Introduction to Real Analysis, Edisi ke-3, New York: John Wiley & Sons Inc., 2000.
[5] R. F. Dickman dan J. R. Porter, “θ-Closed Subsets of Hausdorff Spaces,†Pacific Journal of Mathematics, pp. 407-416, 1975.
[6] S. T. Hu, Element of General Topology, San Fransisco: Holden-Day, 1964.
Published
2015-12-01
How to Cite
[1]
M. Tomasoa, M. Talakua, L. Sinay, and H. Batkunde, “KARAKTERISTIK RUANG HAUSDORFF KOMPAK”, BAREKENG: J. Math. & App., vol. 9, no. 2, pp. 85-88, Dec. 2015.
Section
Articles
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