Open AccessTopology of directional convexity
Author(s) -
Vladimir Naidenko
Publication year - 2020
Publication title -
vescì nacyânalʹnaj akadèmìì navuk belarusì. seryâ fìzìka-matèmatyčnyh navuk
Language(s) - Uncategorized
Resource type - Journals
eISSN - 2524-2415
pISSN - 1561-2430
DOI - 10.29235/1561-2430-2020-56-4-408-410
Subject(s) - convexity , closure (psychology) , topology (electrical circuits) , set (abstract data type) , conjecture , mathematics , orientation (vector space) , combinatorics , geometry , computer science , economics , financial economics , market economy , programming language
Herein, we have proven a Fink – Wood conjecture that if Oʹ is the closure of some orientation set O, then a set is a directed O-halfspace if and only if it is a directed Oʹ-halfspace.