# Asymptotic behavior of metric spaces at infinity

## TL;DR

This paper introduces a new sequential method to analyze the structure of metric spaces at infinity, providing criteria for their finiteness and boundedness.

## Contribution

It proposes a novel sequential approach to study the asymptotic structure of metric spaces and establishes criteria for their finiteness and boundedness at infinity.

## Key findings

- Criteria for finiteness at infinity
- Criteria for boundedness at infinity
- Introduction of a sequential analysis approach

## Abstract

A new sequential approach to investigations of structure of metric spaces at infinity is proposed. Criteria for finiteness and boundedness of metric spaces at infinity are found.