纤维截面范畴的Whitehead和Ganea构造
Whitehead and Ganea constructions for fibrewise sectional category
摘要：
我们通过Whitehead-Ganea构造引入了纤维截面范畴的概念。纤维截范畴是纤维背景下的普通截范畴的类似物，也是纤维无点LS范畴在岩濑-酒井意义下的自然推广。另一方面，纤维指向型是James-Morris意义下的纤维指向型LS范畴的推广。在给出它们的主要性质之后，我们还建立了这两个版本之间的一些比较。
英文摘要：
We introduce the notion of fibrewise sectional category via a Whitehead-Ganea construction. Fibrewise sectional category is the analogue of the ordinary sectional category in the fibrewise setting and also the natural generalization of the fibrewise unpointed LS category in the sense of Iwase-Sakai. On the other hand the fibrewise pointed version is the generalization of the fibrewise pointed LS category in the sense of James-Morris. After giving their main properties we also establish some comparisons between such two versions.
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