اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدSpaces of embeddings: Nonsingular bilinear maps, chirality, and their generalizations
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Given a space X we study the topology of the space of embeddings of X into $mathbb{R}^d$ through the combinatorics of triangulations of X. We give a simple combinatorial formula for upper bounds for the largest dimension of a sphere that antipodally maps into the space of embeddings. This result summarizes and extends results about the nonembeddability of complexes into $mathbb{R}^d$, the nonexistence of nonsingular bilinear maps, and the study of embeddings into $mathbb{R}^d$ up to isotopy, such as the chirality of spatial graphs.
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