TOPOLOGI KOMPAK LOKAL HAUSDORFF PADA RUANG LINTASAN TAK HINGGA

Sudhagama, Azico (2014) TOPOLOGI KOMPAK LOKAL HAUSDORFF PADA RUANG LINTASAN TAK HINGGA. S1 thesis, Universitas Pendidikan Indonesia.

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^∞

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Item Type:	Thesis (S1)
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 > Program Studi Matematika - S1
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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