Geodesic
Modules of space configuration and removable sets
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 32, Tome 449 (2016), pp. 275-288
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The sufficiency of the family of broken lines in calculating the module of configuration is established. Also it is proved that the sets that are removable for the condenser module are also removable for the configuration module. 
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V. A. Shlyk; A. A. Yakovlev. Modules of space configuration and removable sets. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 32, Tome 449 (2016), pp. 275-288. http://geodesic.mathdoc.fr/item/ZNSL_2016_449_a13/

[1] V. V. Aseev, “$NED$-mnozhestva, lezhaschie v giperploskosti”, Sib. mat. zh., 50:5 (2009), 967–986 | MR | Zbl

[2] Yu. V. Dymchenko, V. A. Shlyk, “Dostatochnost semeistva lomanykh v metode modulei i ustranimye mnozhestva”, Sib. mat. zh., 51:6 (2010), 1298–1315 | MR | Zbl

[3] Yu. V. Dymchenko, V. A. Shlyk, “Nekotorye svoistva emkosti i modulya polikondensatora i ustranimye mnozhestva”, Zap. nauchn. semin. POMI, 392, 2011, 84–94

[4] F. I. Ivanov, V. A. Shlyk, “O nul-mnozhestvakh dlya ekstremalnykh dlin”, Analiticheskaya teoriya chisel i teoriya funktsii, Zap. nauchn. semin. POMI, 383, 2010, 86–96

[5] G. V. Kuzmina, “Obschaya teoerma koeffitsientov Dzhenkinsa i metod modulei semeistv krivykh”, Zap. nauchn. semin. POMI, 429, 2014, 140–156

[6] L. K. Evans, R. F. Gariepi, Teoriya mery i tonkie svoistva funktsii, Novosibirsk, 2002

[7] L. Ahlfors, A. Beurling, “Conformal invariants and function-theoretic null-sets”, Acta Math., 83 (1950), 101–129 | DOI | MR | Zbl

[8] B. Fuglede, “Extremal length and functional completion”, Acta Math., 126:3 (1957), 171–219 | DOI | MR

[9] M. Ohtsuka, Extremal length and precise functions, GAKUTO international series, Gakkōtosho, 2003 | MR | Zbl