Editing features with the modify interaction.
This example demonstrates how the modify and select interactions can be used together.  Zoom in to an area of interest and select a feature for editing. Then drag points around to modify the feature.  You can preserve topology by selecting multiple features before editing (Shift+Click to select multiple features).
import Map from 'ol/Map.js';
import View from 'ol/View.js';
import GeoJSON from 'ol/format/GeoJSON.js';
import Modify from 'ol/interaction/Modify.js';
import Select from 'ol/interaction/Select.js';
import {defaults as defaultInteractions} from 'ol/interaction/defaults.js';
import VectorLayer from 'ol/layer/Vector.js';
import {fromLonLat} from 'ol/proj.js';
import VectorSource from 'ol/source/Vector.js';
const vector = new VectorLayer({
  background: 'white',
  source: new VectorSource({
    url: 'https://openlayers.org/data/vector/us-states.json',
    format: new GeoJSON(),
    wrapX: false,
  }),
});
const select = new Select();
const modify = new Modify({
  features: select.getFeatures(),
});
const map = new Map({
  interactions: defaultInteractions().extend([select, modify]),
  layers: [vector],
  target: 'map',
  view: new View({
    center: fromLonLat([-100, 38.5]),
    zoom: 4,
  }),
});
      <!DOCTYPE html>
<html lang="en">
  <head>
    <meta charset="UTF-8">
    <title>Modify Features</title>
    <link rel="stylesheet" href="node_modules/ol/ol.css">
    <style>
      .map {
        width: 100%;
        height: 400px;
      }
    </style>
  </head>
  <body>
    <div id="map" class="map"></div>
    <script type="module" src="main.js"></script>
  </body>
</html>
      {
  "name": "modify-features",
  "dependencies": {
    "ol": "10.6.1"
  },
  "devDependencies": {
    "vite": "^3.2.3"
  },
  "scripts": {
    "start": "vite",
    "build": "vite build"
  }
}