國立中正大學數學系

暨應用數學碩士班、統計科學碩士班

學    術   演    講

A Review on Non-Archimedean Analysis: An Introduction to Ultrametric Spaces

王偉名 博士

Dr. Wei-Ming Wang

國立虎尾科技大學通識教育中心

Center for General Education, National Formosa University

Abstract

The difference between usual metric spaces and ultrametric spaces is the “level” of triangle inequality. Ultrametric spaces possess a stronger version of triangle inequality. With this behavior, there are much different results than usual metric spaces in Classical Analysis. This gives birth to the area so-called Non-Archimedean Analysis.

In this talk, we give a simple approach to Non-Archimedean Analysis including:

• An introduction to ultrametric spaces;

• The strong triangle inequality and some related amazing results that can’t occur in Classical Analysis;

• The relation between strong triangle inequality and Archimedean property.

KEYWORDS: Archimedean property, strong triangle inequality, ultrametric, ultrametric space.

日  期:113年3月11日(星期一) 16:10~17:00

地  點：本校數學館312教室（嘉義縣民雄鄉大學路168號）

茶  會：15:30~16:00數學館三樓305室舉行

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