We constructed infinitely many involutions on [Formula: see text] with fixed point set homeomorphic to [Formula: see text]. All these involutions are [Formula: see text]-isovariantly homotopy equivalent to interchange and are inequivalent to one another in the TOP category.

中文翻译：

---

M × M 上存在奇异对合

我们在 [Formula: see text] 上构造了无限多次对合，其中定点集同胚于 [Formula: see text]。所有这些对合都是[公式：见正文]-等变同伦等价于互换，并且在 TOP 类别中彼此不等价。