Essential and inessential maps and continuation theorems (Q1975288)
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scientific article; zbMATH DE number 1428510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Essential and inessential maps and continuation theorems |
scientific article; zbMATH DE number 1428510 |
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Essential and inessential maps and continuation theorems (English)
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9 April 2000
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In the present paper the notion of essential map [\textit{A. Granas}, C. R. Acad. Sci. Paris, Sér. A 282, 983-985 (1976; Zbl 0348.47039)] is extended to a larger class of maps. For this new notion it is proved that if \(0\) is essential and \(0\cong F\), then \(F\) is essential. A discussion of inessential maps is also included in the paper as well as a generalization of Krasnoselskii's compression and expansion theorem.
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essential map
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inessential maps
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Krasnoselskii's compression and expansion theorem
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