Geodesic
Banach--Zaretsky theorem for compactly absolutely continuous mappings
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 37 (2010), pp. 38-54.

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For mappings of an interval into locally convex spaces, convex and compact convex analogs of absolute continuity, bounded variation, and the Luzin $N$-property are introduced and studied. We prove that, in the general case, a convex analog of the Banach–Zaretsky criteria can be “split” into sufficient and necessary conditions. However, in the Fréchet-space case, we have an exact compact analog of the criteria. 
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     author = {I. V. Orlov},
     title = {Banach--Zaretsky theorem for compactly absolutely continuous mappings},
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     url = {http://geodesic.mathdoc.fr/item/CMFD_2010_37_a3/}
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I. V. Orlov. Banach--Zaretsky theorem for compactly absolutely continuous mappings. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 37 (2010), pp. 38-54. http://geodesic.mathdoc.fr/item/CMFD_2010_37_a3/

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