Rigid extensions of ?-groups of continuous functions |
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| Authors: | Michelle L Knox Warren Wm McGovern |
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| Institution: | (1) Department of Mathematics, Midwestern State University, 3410 Taft Blvd., Wichita Falls, TX 76308, USA;(2) Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA |
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| Abstract: | Let C(X, ℤ), C(X, ℂ) and C(X) denote the ℓ-groups of integer-valued, rational-valued and real-valued continuous functions on a topological space X, respectively. Characterizations are given for the extensions C(X, ℤ) ⩽ C(X, ℚ) ⩽ C(X) to be rigid, major, and dense. |
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| Keywords: | rigid extension major extension archimedean extension dense extension |
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