论文标题

与纤维产物的自同性恋当量相关的单体

Monoids related to self homotopy equivalences of fibred product

论文作者

Sen, Debasis, Dutta, Gopal Chandra

论文摘要

我们引入了与纤维方向尖的空间相关的单肌相等于的单体序列的嵌套序列,因此极限是纤维方向尖的自我等量的同型类别的组。我们在单个空间方面探索了纤维产品的单型物体。此外,我们研究了两个与这些单体相关的相关不变式:自我亲密的数字和自长度。

We introduce a nested sequence of monoids related to self-homotopy equivalences of fibrewise pointed spaces, such that the limit is the group of homotopy classes of fibrewise pointed self-equivalences. We explore this monoid for the fibred product in terms of individual spaces. Further we study two related invariants associated to these monoids: self closeness number and self length.

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