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
Downloads
Download data is not yet available.
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
Authors who publish with this Journal agree to the following terms:
- Author retain copyright and grant the journal right of first publication with the work simultaneously licensed under a creative commons attribution license that allow others to share the work within an acknowledgement of the work’s authorship and initial publication of this journal.
- Authors are able to enter into separate, additional contractual arrangement for the non-exclusive distribution of the journal’s published version of the work (e.g. acknowledgement of its initial publication in this journal).
- Authors are permitted and encouraged to post their work online (e.g. in institutional repositories or on their websites) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published works.
1.gif)
