Regular selections for multiple-valued functions

被引：0
|
作者：
Camillo De Lellis
Carlo Romano Grisanti
Paolo Tilli
机构：
[1] Scuola Normale Superiore,Dipartimento di Matematica Applicata “U. Dini”
[2] Univesità di Pisa,undefined
来源：
Annali di Matematica Pura ed Applicata | 2004年 / 183卷
关键词：
Equivalence Class; Related Problem; Finite Group; Abstract Setting; Regular Selection;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Given a multiple-valued function f, we deal with the problem of selecting its single-valued branches. This problem can be stated in a rather abstract setting considering a metric space E and a finite group G of isometries of E. Given a function f, which takes values in the equivalence classes of E/G, the problem consists of finding a map g with the same domain as f and taking values in E, such that at every point t the equivalence class of g(t) coincides with f(t).
引用
收藏
页码：79 / 95
页数：16
相关论文
共 50 条
  • [1] Regular selections for multiple-valued functions
    De Lellis, Camillo
    Grisanti, Carlo Romano
    Tilli, Paolo
    [J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2004, 183 (01) : 79 - 95
  • [2] ON MULTIPLE-VALUED RANDOM FUNCTIONS
    LUMLEY, JL
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1964, 5 (09) : 1198 - &
  • [3] DEFORMATIONS AND MULTIPLE-VALUED FUNCTIONS
    ALMGREN, F
    [J]. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1986, 44 : 29 - 130
  • [4] PLI logic for multiple-valued functions
    Falkowski, BJ
    Rahardja, S
    [J]. IEE PROCEEDINGS-COMPUTERS AND DIGITAL TECHNIQUES, 2001, 148 (01): : 7 - 14
  • [5] Probabilistic verification of multiple-valued functions
    Dubrova, E
    Sack, H
    [J]. 30TH IEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC, PROCEEDINGS, 2000, : 460 - 466
  • [6] Properties of Multiple-Valued Partition Functions
    Butler, Jon T.
    Sasao, Tsutomu
    Nagayama, Shinobu
    [J]. 2020 IEEE 50TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2020), 2020, : 82 - 87
  • [7] Maximally Asymmetric Multiple-Valued Functions
    Butler, Jon T.
    Sasao, Tsutomu
    [J]. 2019 IEEE 49TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL), 2019, : 188 - 193
  • [8] Deduction and search strategies for regular multiple-valued logics
    Lu, JJ
    Murray, NV
    Rosenthal, E
    [J]. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2005, 11 (3-4) : 375 - 406
  • [9] Posets of minors of functions in multiple-valued logic
    Lehtonen, Erkko
    Waldhauser, Tamas
    [J]. 2017 IEEE 47TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2017), 2017, : 43 - 48
  • [10] On the Sensitivity of Boolean and Multiple-Valued Symmetric Functions
    Butler, Jon T.
    Sasao, Tsutomu
    [J]. 2022 IEEE 52ND INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2022), 2022, : 125 - 130
12345