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A Discrete Version of Stratified Morse Theory Wang, Bei
Description
Classical Morse theory connects the topology of a manifold with critical points of a Morse function. Stratified Morse theory considers the topology of a stratified space with critical points of a stratified Morse function. Discrete Morse theory is considered as a combinatorial adaptation of Classical Morse theory, and is applied to simplicial or cell complexes. It seems natural to ask whether there could be a combinatorial adaptation of Stratified Morse theory. This talk will serve as a conversation starter, where I would like to discuss a (possibly) discrete version of stratified Morse theory and its (potential) application in data analysis.
Item Metadata
Title |
A Discrete Version of Stratified Morse Theory
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-08-03T16:09
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Description |
Classical Morse theory connects the topology of a manifold
with critical points of a Morse function. Stratified Morse theory
considers the topology of a stratified space with critical points of a
stratified Morse function. Discrete Morse theory is considered as a
combinatorial adaptation of Classical Morse theory, and is applied to
simplicial or cell complexes. It seems natural to ask whether there
could be a combinatorial adaptation of Stratified Morse theory.
This talk will serve as a conversation starter, where I would like to
discuss a (possibly) discrete version of stratified Morse theory and
its (potential) application in data analysis.
|
Extent |
30 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 Utah
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Series | |
Date Available |
2018-01-31
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0363311
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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-NoDerivatives 4.0 International