# Generic homeomorphisms with shadowing of one-dimensional continua

## TL;DR

This paper demonstrates the existence of plane continuum homeomorphisms with residual conjugacy classes that possess the shadowing property, contributing to the understanding of dynamical behaviors in topological continua.

## Contribution

It introduces specific homeomorphisms of plane continua with residual conjugacy classes and the shadowing property, expanding knowledge of dynamical systems in topology.

## Key findings

- Existence of such homeomorphisms proven
- Homeomorphisms have residual conjugacy classes
- They exhibit the shadowing property

## Abstract

In this article we show that there are homeomorphisms of plane continua whose conjugacy class is residual and have the shadowing property.