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Filling multiples of embedded curves Young, Robert
Description
Filling a curve with an oriented surface can sometimes be “cheaper by the dozen”. For example, L. C. Young constructed a smooth curve drawn on a Klein bottle in Rn which is only about 1.3 times as hard to fill twice as it is to fill once and asked whether this ratio can be bounded below. We will use methods from geometric measure theory to answer this question and pose some open questions about systolic inequalities for surfaces embedded in Rn.
Item Metadata
| Title |
Filling multiples of embedded curves
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2013-08-06
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| Description |
Filling a curve with an oriented surface can sometimes be “cheaper by the dozen”. For example, L. C. Young constructed a smooth curve drawn on a Klein bottle in Rn which is only about 1.3 times as hard to fill twice as it is to fill once and asked whether this ratio can be bounded below. We will use methods from geometric measure theory to answer this question and pose some open questions about systolic inequalities for surfaces embedded in Rn.
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| Extent |
42 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Toronto
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| Series | |
| Date Available |
2014-08-06
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
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| DOI |
10.14288/1.0043480
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada