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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Eric Robinson (1979)
Fundamenta Mathematicae
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Worrell, J.M. jr. (1966)
Portugaliae mathematica
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Gerald F. Jungck
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CONTENTS1. Introduction and preliminaries..........................................52. Initial results.....................................................................73. H-Connected spaces......................................................114. Induced decompositions.................................................185. "Regular" decompositions...............................................256. An application and a generalization................................297. Locally separating...
Thomas Moore (1978)
Fundamenta Mathematicae
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Iséki, Kiyoshi (1954)
Portugaliae mathematica
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James C. Becker, Daniel Henry Gottlieb (1973)
Compositio Mathematica
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Rastislav Telgársky (1976)
Colloquium Mathematicae
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T. Przymusiński (1978)
Colloquium Mathematicae
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N. Brodskiy, J. Dydak, B. Labuz, A. Mitra (2012)
Fundamenta Mathematicae
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We define Peano covering maps and prove basic properties analogous to classical covers. Their domain is always locally path-connected but the range may be an arbitrary topological space. One of characterizations of Peano covering maps is via the uniqueness of homotopy lifting property for all locally path-connected spaces. Regular Peano covering maps over path-connected spaces are shown to be identical with generalized regular covering maps introduced by Fischer and...
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...
Karol Borsuk, Rimas Vaina (1979)
Colloquium Mathematicae
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G. J. Michaelides (1981)
Colloquium Mathematicae
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