본문 바로가기
KERD
논문KCI 등재

On Yi's extension property for totally preordered topological spaces

M. J. Campi\'on|J. C. Candeal|Esteban Indur\'ain
대한수학회 (The Korean Mathematical Society)|2006.01|대한수학회지 (Journal of the KMS)|제43권 제1호|pp. 159-181

0

조회

0

다운로드

2

인용

0

참고문헌

주제분류수학

초록

Abstract

The objective of this paper is to show further results concerning the problem of extending total preorders from a subset of a topological space to the entire space using the approach introduced by Gyoseob Yi.

참고문헌 (17)

  1. "paper Infinite dimensional Analysis, A Hitchhicker's guide", berlin, pp.1999~ (1999)
  2. "paper The non-existence of a utility function and the structure of non-representablepreference relations", pp.17~ (2002)
  3. "paper On the structure of completely useful topologies", pp.145~ (2002)
  4. "paperRepresentation of preference orderings" (1995)
  5. "paper Some results on representation and extension of preferences", and e. indur\'ain\paper some results on representation and extension of preferences\jour j. math. econom. \vol 29 \yr 1998 \pages no. 1, pp.75~ (1998)
  6. "paper Some utility theorems on inductive limits of preordered topological spaces", and g. b. mehta\paper some utility theorems on inductive limits of preordered topological spaces \jour bull. austral. math. soc. \vol 52 \yr 1995 \pages no. 2, pp.235~ (1995)
  7. "paper Utility functions on locally connectedspaces", pp.701~ (2004)
  8. "\ref \key 9 \by H. H. Corson \paper The weak topology of a Banachspace \jour Trans. Amer. Math. Soc. \vol101 \yr 1961 \pages 1--15 \endref" (1961)
  9. "\ref \key 10 \by G. Debreu \paper Representation of a preference ordering by a numerical function\jour In" (1954)
  10. "paper On theexistence of continuous preference orderings without utilityrepresentations" (1995)
  11. "\ref \key 16 \bysame \paper Topological spaces for which everycontinuous total preorder can be represented by a continuousutility function \jour Math. Social Sci. \vol 22 \yr1991 \pages no. 2", pp.123~ (1991)
  12. "paper Useful topologies and separable systems", pp.61~ (2000)
  13. "paper Semicontinuous utility functionsin topological spaces", pp.111~ (1997)
  14. "\ref \key 19 \by P. K. Monteiro \paper Some results on theexistence of utility functions on path connected spaces \jourJ. Math. Econom. \vol 16 \yr 1987 \pages 147--156\endref" (1987)
  15. "n}ski \paper Projections in certainBanach spaces \jour Studia Math. \vol 19 \yr 1960 \pages209--228\endref" (1960)
  16. "\ref \key22 \by T. Rader \paper The existence of a utility function to represent preferences \jour Review of Economic Studies\vol 30 \yr 1963 \pages 229--232\endref" (1963)
  17. "paper Counterexamples in Topology", ny (1995)

관련 논문AI추천

Minimal basically disconnected covers of some extensionsChang Il Kim, Kap Hun Jung대한수학회 · 대한수학회논문집2002 · 제17권 제4호Categorical properties of semi-continuousquasi-ordered spacesSeon Ho Shin대한수학회 · 대한수학회논문집2002 · 제17권 제4호On Spaces in which compact-like sets are closed, and related spaces홍우철대한수학회 · 대한수학회논문집2007 · 제22권 제2호AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE김창일, 윤용식한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호Selection principles and hyperspace topologies in closure spacesMila Mr\v sevi\'c, Milena Jeli\'c대한수학회 · 대한수학회지2006 · 제43권 제5호General Filters and Strict Extensions in Pointfree TopologyBernhard Banaschewski, Sung Sa Hong경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제2호

이 간행물의 다른 논문 (14건)

Fixed points of countably condensing mappings and its application to nonlinear eigenvalue problems김인숙pp. 1-9Some existence theorems for functional equations arising indynamic programming엄정석, Zeqing Liu, 강신민pp. 11-28Extending representations of $H$ to $G$ with discrete $G/H$조진환, 서동엽, Mikiya Masudapp. 29-43On a vorticity minimization problem for the stationary 2D Stokes equations김홍철, 권오근pp. 45-63$\tau$-injective submodules of indecomposable injective modulesSeptimiu Criveipp. 65-76
원문 보기