An Equivalence of Shape and Deck Groups; Further Classification of Sharkovskii Groups
In part one we show that for a compact, metric, locally path-connected topological space X, the shape group of X - as defined in Foundations of Shape Theory by Mardesic and Segal - is isomorphic to the inverse limit of discrete homotopy groups introduced by Conrad Plaut and Valera Berestovskii. We b...
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| Format: | Others |
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BYU ScholarsArchive
2019
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| Online Access: | https://scholarsarchive.byu.edu/etd/7752 https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=8752&context=etd |