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I'm assuming you're not using router dom, on parent component or the component you want to redirect use state like {renderPost:false} initially,then use method to toggle the state which renders post component , in post component pass a function as prop which makes {renderPost :false} in parent component, so whenever you want to redirect you can use method from props like this.props.Redirect()
Use BrowserRouter which uses HTML5 history API (pushState, replaceState and the popstate event) to keep your UI in sync with the URL.
After successful API request you can do
this.props.history.push("/path-to-redirect");
. Make sure to wrap your component with --> withRouter.