Sudhagama, Azico (2014) TOPOLOGI KOMPAK LOKAL HAUSDORFF PADA RUANG LINTASAN TAK HINGGA. S1 thesis, Universitas Pendidikan Indonesia.
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Abstract
Aljabar-C^* telah banyak dimodelkan melalui pendekatan graf dan groupoid. Kumjian, Pask, Raeburn, Renault (1997) menyatakan bahwa unit space dari groupoid G merupakan ruang lintasan tak hingga E^∞ dari graf berarah baris-berhingga E. Webster (2010) mengkaji lebih dalam bagaimana cara mengkonstruksi topologi kompak lokal Hausdorff pada ruang lintasan tak hingga E^∞ dari graf berarah baris-berhingga. Pada tulisan ini dipelajari bagaimana cara mengkonstruksi topologi pada ruang E^∞ yang merupakan subruang dari topologi produk ∏_N▒E^1 . Dijelaskan pula basis dari ruang topologi E^∞. A C^*-algebra can be modeled using graph and groupoid approach. Kumjian, Pask, Raeburn, Renault (1997) stated that unit space of groupoid G is the infinite path space E^∞ of row-finite directed graph E. Furthermore, Webster (2010) has examined on how to construct locally compact Hausdorff on infinite path space E^∞ of row-finite directed graph. This paper deals with the process to construct topology on space E^∞ which is considered as subspace of product topology ∏_N▒E^1 . This paper also elaborate basis of topological space E^∞
| Item Type: | Thesis (S1) |
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| Additional Information: | No. Panggil: S MAT SUD P-2014; Pembimbing: I. Rizky Rusjanuardi, II. Isne Yusmitha |
| Uncontrolled Keywords: | Ruang Lintasan Tak Hingga, Graf Berarah Baris-Berhingga, Himpunan Silinder, Topologi Kompak Lokal Hausdorff. Infinite Path Space, Row-Finite Directed Graph, Cylinder Set, Locally Compact Hausdorff Topology. |
| Subjects: | L Education > L Education (General) |
| Divisions: | Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam > Jurusan Pendidikan Matematika |
| Depositing User: | Staf Koordinator 2 |
| Date Deposited: | 21 May 2015 03:20 |
| Last Modified: | 21 May 2015 03:20 |
| URI: | http://repository.upi.edu/id/eprint/14518 |
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