An Equivalence between two Constructions of Universal Bundles and Applications of Classifying Spaces
碩士 === 國立清華大學 === 數學系 === 107 === This thesis reviews the Milgram-Steenrod construction and bar construction of universal bundles, and prove that these two constructions are equivalent. After reviewing relation between neighborhood deformation retract and the universal bundles, we prove that if a pa...
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2019
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| Online Access: | http://ndltd.ncl.edu.tw/handle/4hp3hj |
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ndltd-TW-107NTHU54790022019-05-30T03:57:30Z http://ndltd.ncl.edu.tw/handle/4hp3hj An Equivalence between two Constructions of Universal Bundles and Applications of Classifying Spaces 兩種宇纖維叢構造方式的等同與分類空間的應用 Day, Biy-Kuang 戴碧寬 碩士 國立清華大學 數學系 107 This thesis reviews the Milgram-Steenrod construction and bar construction of universal bundles, and prove that these two constructions are equivalent. After reviewing relation between neighborhood deformation retract and the universal bundles, we prove that if a pair of topological group (G,Z) is a neighborhood deformation retract pair, then the quotient map G→G/Z is actually a Serre fibration. Teh, Jyh Haur 鄭志豪 2019 學位論文 ; thesis 34 en_US |
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NDLTD |
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en_US |
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Others
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NDLTD |
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碩士 === 國立清華大學 === 數學系 === 107 === This thesis reviews the Milgram-Steenrod construction and bar construction of universal bundles, and prove that these two constructions are equivalent. After reviewing relation between neighborhood deformation retract and the universal bundles, we prove that if a pair of topological group (G,Z) is a neighborhood deformation retract pair, then the quotient map G→G/Z is actually a Serre fibration.
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| author2 |
Teh, Jyh Haur |
| author_facet |
Teh, Jyh Haur Day, Biy-Kuang 戴碧寬 |
| author |
Day, Biy-Kuang 戴碧寬 |
| spellingShingle |
Day, Biy-Kuang 戴碧寬 An Equivalence between two Constructions of Universal Bundles and Applications of Classifying Spaces |
| author_sort |
Day, Biy-Kuang |
| title |
An Equivalence between two Constructions of Universal Bundles and Applications of Classifying Spaces |
| title_short |
An Equivalence between two Constructions of Universal Bundles and Applications of Classifying Spaces |
| title_full |
An Equivalence between two Constructions of Universal Bundles and Applications of Classifying Spaces |
| title_fullStr |
An Equivalence between two Constructions of Universal Bundles and Applications of Classifying Spaces |
| title_full_unstemmed |
An Equivalence between two Constructions of Universal Bundles and Applications of Classifying Spaces |
| title_sort |
equivalence between two constructions of universal bundles and applications of classifying spaces |
| publishDate |
2019 |
| url |
http://ndltd.ncl.edu.tw/handle/4hp3hj |
| work_keys_str_mv |
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