Geodesic
Regulated functions
Mathematica Bohemica, Tome 116 (1991) no. 1, pp. 20-59

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MR Zbl
The first section consists of auxiliary results about nondecreasing real functions. In the second section a new characterization of relatively compact sets of regulated functions in the sup-norm topology is brought, and the third section includes, among others, an analogue of Helly's Choice Theorem in the space of regulated functions.
The first section consists of auxiliary results about nondecreasing real functions. In the second section a new characterization of relatively compact sets of regulated functions in the sup-norm topology is brought, and the third section includes, among others, an analogue of Helly's Choice Theorem in the space of regulated functions.
DOI : 10.21136/MB.1991.126195
Classification : 26A45, 27A45, 46E15, 46E99
Keywords: regulated functions; linear prolongation along an increasing function; analogue of Helley's principle of choice theorem; Banach space 
Fraňková, Dana. Regulated functions. Mathematica Bohemica, Tome 116 (1991) no. 1, pp. 20-59. doi: 10.21136/MB.1991.126195
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