On the homotopy of certain mapping spaces (Q1117499)
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scientific article; zbMATH DE number 4092342
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the homotopy of certain mapping spaces |
scientific article; zbMATH DE number 4092342 |
Statements
On the homotopy of certain mapping spaces (English)
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1988
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The author provides a method to compute the homotopy groups of certain subspaces of the space of based self-maps of the total space X in a principal G-bundle over the n-sphere. The method involves identifying the space obtained by collapsing a fibre in X to the base point with the one point union (wedge sum) of the n-sphere and the n-fold suspension of G, and the homotopy sequences for certain fibrations of mapping spaces. The main application is to the space of bundle maps of X into itself.
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homotopy groups of subspaces of the space of based self-maps of the total space in a principal bundle over the n-sphere
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homotopy sequences for fibrations of mapping spaces
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space of bundle maps
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0.95020837
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0.9393712
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0.93685967
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0.9341967
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0.9303952
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0.9265734
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