THEORY OF 1-CATEGORY VIA SIMPLICIAL SET
On this expository thesis, we explore the construction of 1-category by the means of simplicial set. Using homotopy theory as a starting point, we would also construct Kan complexes as 1-groupoid, generalizing the notions of fundamental groupoid of a topological spaces. We also show that the nerv...
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id-itb.:688762022-09-19T13:13:47ZTHEORY OF 1-CATEGORY VIA SIMPLICIAL SET Mahdi Pratama, Valerian Indonesia Theses Fundamental groupoid, homotopy theory, 1-category, quasicategory, simplicial set. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/68876 On this expository thesis, we explore the construction of 1-category by the means of simplicial set. Using homotopy theory as a starting point, we would also construct Kan complexes as 1-groupoid, generalizing the notions of fundamental groupoid of a topological spaces. We also show that the nerve of a category forms a quasicategory. 2020 Mathematics Subject Classification: 18-01, 18N60 text |
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Institut Teknologi Bandung |
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Institut Teknologi Bandung Library |
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Asia |
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Indonesia Indonesia |
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Institut Teknologi Bandung |
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Indonesia |
| description |
On this expository thesis, we explore the construction of 1-category by the means
of simplicial set. Using homotopy theory as a starting point, we would also construct
Kan complexes as 1-groupoid, generalizing the notions of fundamental groupoid
of a topological spaces. We also show that the nerve of a category forms a quasicategory.
2020 Mathematics Subject Classification: 18-01, 18N60 |
| format |
Theses |
| author |
Mahdi Pratama, Valerian |
| spellingShingle |
Mahdi Pratama, Valerian THEORY OF 1-CATEGORY VIA SIMPLICIAL SET |
| author_facet |
Mahdi Pratama, Valerian |
| author_sort |
Mahdi Pratama, Valerian |
| title |
THEORY OF 1-CATEGORY VIA SIMPLICIAL SET |
| title_short |
THEORY OF 1-CATEGORY VIA SIMPLICIAL SET |
| title_full |
THEORY OF 1-CATEGORY VIA SIMPLICIAL SET |
| title_fullStr |
THEORY OF 1-CATEGORY VIA SIMPLICIAL SET |
| title_full_unstemmed |
THEORY OF 1-CATEGORY VIA SIMPLICIAL SET |
| title_sort |
theory of 1-category via simplicial set |
| url |
https://digilib.itb.ac.id/gdl/view/68876 |
| _version_ |
1822005879634919424 |