Some Concepts and Properties of topological Space

Journal Title: International Journal of Applied Science and Mathematics - Year 2018, Vol 5, Issue 2

Abstract

Point set topology is a subject with strong logic, abstract content and difficult learning. And topological space is the most basic and important knowledge network in point set topology. So we firstly introduce the definition of open set of topological space, then discuss some problems of open set in topological space, such as the derivative set, the closure, interior, the definitions, properties and so on are extended from open set. Finally, their relationships are summarized.

Authors and Affiliations

He Zhang, et al.

Keywords

Related Articles

Modelling GDP in Nigeria using Bayesian Model Averaging

Statistical modelling has played significant roles in various field of endeavors and this has helped policy makers and planners to take decisive decision. This study attempts to model Gross Domestic Product (GDP) in Nige...

Joint Measurability of Unbiased Observables of a Qubit

Given two pieces of classical information obtained via measurements of two observables there exist many joint probability distributions with these two pieces of classical information as marginal distributions. If there e...

Evaluating Sine and Cosine Type Integrals

In this article, the integrals ∫_0^∞▒(sin x)/x^p dx and ∫_0^∞▒(cos x)/x^p dx are evaluated by using Laplace transform method different from the previous methods where 0<p<1.

Optimal Solution of Differential Equations for Heat Conduction in Infinitely Large Flat Wall Models

Thermal protective clothing in high temperature environment is usually composed of multiple layers of insulation materials. It is of great significance to study the establishment of thermal conductivity model of multilay...

Some Concepts and Properties of topological Space

Point set topology is a subject with strong logic, abstract content and difficult learning. And topological space is the most basic and important knowledge network in point set topology. So we firstly introduce the defin...

Download PDF file
  • EP ID EP504689
  • DOI -
  • Views 89
  • Downloads 0

How To Cite

He Zhang, et al. (2018). Some Concepts and Properties of topological Space. International Journal of Applied Science and Mathematics, 5(2), 3-5. https://europub.co.uk/articles/-A-504689