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SEMINARS
On isometric sequences of colored spaces
时间  Datetime
2017-12-24 10:30 — 11:30 
地点  Venue
Middle Lecture Room
报告人  Speaker
Mitsugu Hirasaka (平坂貢)
单位  Affiliation
Pusan National University
邀请人  Host
Yaokun Wu
报告摘要  Abstract

A colored space is the pair (X,r) of a set X and a function r whose domain is (X2). Let (X,r) be a finite colored space and Y,Z⊆X. We shall write Y?rZ if there exists a bijection f:Y→Z such that r(U)=r(f(U)) for each U∈(Y2). We denote the numbers of equivalence classes with respect to ?r contained in (X2) and (X3) by a2(r) and a3(r), respectively. In this talk we prove that a2(r)≤a3(r) when 5≤|X|, and show what happens when the equality holds. This is joint work with Masashi Shinohara.