Nonstandard analysis and the theory of shape
Frank Wattenberg (1978)
Fundamenta Mathematicae
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Frank Wattenberg (1978)
Fundamenta Mathematicae
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Rastislav Telgársky (1976)
Colloquium Mathematicae
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Sang-Eon Han (2010)
International Journal of Applied Mathematics and Computer Science
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In order to classify digital spaces in terms of digital-homotopic theoretical tools, a recent paper by Han (2006b) (see also the works of Boxer and Karaca (2008) as well as Han (2007b)) established the notion of regular covering space from the viewpoint of digital covering theory and studied an automorphism group (or Deck's discrete transformation group) of a digital covering. By using these tools, we can calculate digital fundamental groups of some digital spaces and classify digital...
G. J. Michaelides (1981)
Colloquium Mathematicae
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Hao Pan, Zhi-Wei Sun (2007)
Acta Arithmetica
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Karol Borsuk, Rimas Vaina (1979)
Colloquium Mathematicae
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Grigorian, S.A., Gumerov, R.N. (2002)
Lobachevskii Journal of Mathematics
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Joós, Antal (2008)
Beiträge zur Algebra und Geometrie
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Thomas Moore (1978)
Fundamenta Mathematicae
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Eldon Dyer, Samuel Eilenberg (1988)
Fundamenta Mathematicae
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Aguilar, Marcelo A., Prieto, Carlos (2006)
International Journal of Mathematics and Mathematical Sciences
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Katsuya Eda, Vlasta Matijević (2013)
Fundamenta Mathematicae
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Let Y be a connected group and let f: X → Y be a covering map with the total space X being connected. We consider the following question: Is it possible to define a topological group structure on X in such a way that f becomes a homomorphism of topological groups. This holds in some particular cases: if Y is a pathwise connected and locally pathwise connected group or if f is a finite-sheeted covering map over a compact connected group Y. However, using shape-theoretic techniques and...