TOPOLOGI KOMPAK LOKAL HAUSDORFF PADA RUANG LINTASAN TAK HINGGA

• Main Author: Sudhagama, Azico (Author)
• Format: Book
• Published: 2014-06-25.
• Subjects: Thesis; NonPeerReviewed
• Online Access: Link Metadata
• Notes: http://repository.upi.edu/14518/1/S_MAT_1002579_Title.pdf; http://repository.upi.edu/14518/2/S_MAT_1002579_Table_of_content.pdf; http://repository.upi.edu/14518/3/S_MAT_1002579_Abstract.pdf; http://repository.upi.edu/14518/4/S_MAT_1002579_Chapter1.pdf; http://repository.upi.edu/14518/5/S_MAT_1002579_Chapter2.pdf; http://repository.upi.edu/14518/6/S_MAT_1002579_Chapter3.pdf; http://repository.upi.edu/14518/7/S_MAT_1002579_Chapter4.pdf; http://repository.upi.edu/14518/8/S_MAT_1002579_Chapter5.pdf; http://repository.upi.edu/14518/9/S_MAT_1002579_Bibliograhy.pdf
• Keywords: L Education (General)

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^∞