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Isometric model of metric spaces. / Simonov, Sergey.

2018 DAYS ON DIFFRACTION (DD). ed. / OV Motygin; AP Kiselev; LI Goray; AY Kazakov; AS Kirpichnikova; MV Perel. IEEE Canada, 2018. p. 274-276.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Simonov, S 2018, Isometric model of metric spaces. in OV Motygin, AP Kiselev, LI Goray, AY Kazakov, AS Kirpichnikova & MV Perel (eds), 2018 DAYS ON DIFFRACTION (DD). IEEE Canada, pp. 274-276, 2018 International Conference Days on Diffraction, DD 2018, St. Petersburg, Russian Federation, 4/06/18.

APA

Simonov, S. (2018). Isometric model of metric spaces. In OV. Motygin, AP. Kiselev, LI. Goray, AY. Kazakov, AS. Kirpichnikova, & MV. Perel (Eds.), 2018 DAYS ON DIFFRACTION (DD) (pp. 274-276). IEEE Canada.

Vancouver

Simonov S. Isometric model of metric spaces. In Motygin OV, Kiselev AP, Goray LI, Kazakov AY, Kirpichnikova AS, Perel MV, editors, 2018 DAYS ON DIFFRACTION (DD). IEEE Canada. 2018. p. 274-276

Author

Simonov, Sergey. / Isometric model of metric spaces. 2018 DAYS ON DIFFRACTION (DD). editor / OV Motygin ; AP Kiselev ; LI Goray ; AY Kazakov ; AS Kirpichnikova ; MV Perel. IEEE Canada, 2018. pp. 274-276

BibTeX

@inproceedings{b542c5bbb6fb4f50aebfafb63a750b0e,
title = "Isometric model of metric spaces",
abstract = "Let Omega be a metric space and D be the lattice of its open sets with the partial order subset of, equipped with the order topology. For a set A subset of Omega, let A(t) denote its metric t-neighborhood. In the lattice of D-valued functions on (0, + infinity), consider the family ID = {A (.) vertical bar A(t) = A(t), A is an element of D}. Let (Omega) over tilde be the set of atoms of its closure, (ID) over bar, in the topology of pointwise convergence. Under certain conditions one can define a metric on (Omega) over tilde. We describe a class of metric spaces Omega such that (Omega) over tilde is isometric to Omega.",
author = "Sergey Simonov",
year = "2018",
language = "Английский",
pages = "274--276",
editor = "OV Motygin and AP Kiselev and LI Goray and AY Kazakov and AS Kirpichnikova and MV Perel",
booktitle = "2018 DAYS ON DIFFRACTION (DD)",
publisher = "IEEE Canada",
address = "Канада",
note = "null ; Conference date: 04-06-2018 Through 08-06-2018",

}

RIS

TY - GEN

T1 - Isometric model of metric spaces

AU - Simonov, Sergey

PY - 2018

Y1 - 2018

N2 - Let Omega be a metric space and D be the lattice of its open sets with the partial order subset of, equipped with the order topology. For a set A subset of Omega, let A(t) denote its metric t-neighborhood. In the lattice of D-valued functions on (0, + infinity), consider the family ID = {A (.) vertical bar A(t) = A(t), A is an element of D}. Let (Omega) over tilde be the set of atoms of its closure, (ID) over bar, in the topology of pointwise convergence. Under certain conditions one can define a metric on (Omega) over tilde. We describe a class of metric spaces Omega such that (Omega) over tilde is isometric to Omega.

AB - Let Omega be a metric space and D be the lattice of its open sets with the partial order subset of, equipped with the order topology. For a set A subset of Omega, let A(t) denote its metric t-neighborhood. In the lattice of D-valued functions on (0, + infinity), consider the family ID = {A (.) vertical bar A(t) = A(t), A is an element of D}. Let (Omega) over tilde be the set of atoms of its closure, (ID) over bar, in the topology of pointwise convergence. Under certain conditions one can define a metric on (Omega) over tilde. We describe a class of metric spaces Omega such that (Omega) over tilde is isometric to Omega.

M3 - статья в сборнике материалов конференции

SP - 274

EP - 276

BT - 2018 DAYS ON DIFFRACTION (DD)

A2 - Motygin, OV

A2 - Kiselev, AP

A2 - Goray, LI

A2 - Kazakov, AY

A2 - Kirpichnikova, AS

A2 - Perel, MV

PB - IEEE Canada

Y2 - 4 June 2018 through 8 June 2018

ER -

ID: 47875573