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How do transversality and hierarchisation relate to the development of standards in various fields? 


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Transversality and hierarchization play crucial roles in the development of standards across different fields. Transversality, as discussed in various contexts , involves a multi-sited, multi-methodological approach that collects diverse data systematically to understand standardization processes comprehensively. On the other hand, hierarchization, as highlighted in a different context, is a preprocessing step that enhances communication for combining techniques, significantly improving performance in solving high-dimensional numerical problems. In the context of educational transversality, it emphasizes interdisciplinary work, administrative planning, and innovation models to promote the integration of transversal themes in educational projects and daily classroom tasks. Therefore, by utilizing transversality for a comprehensive understanding and hierarchization for efficient problem-solving, standards in various fields can be developed effectively.

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Transversality, through multi-methodological approaches and data collection across contexts and generations, illuminates standardization as sociolinguistic change, challenging the assumption of easily measurable linguistic change.
Open accessJournal ArticleDOI
10 Dec 2019
3 Citations
Transversality in education promotes interdisciplinary collaboration, while hierarchisation influences administrative planning, content organization, and innovation models, enhancing the development of standards across different fields.

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How does the concept of transversality relate to the unique path-lifting property of a universal covering?5 answersThe concept of transversality is closely related to the unique path-lifting property of a universal covering. In the context of Peano continua, a universal covering projection exists with an uncountable fundamental group, and the universal object in the category of fibrations over the continuum has a trivial fundamental group, indicating a unique path lifting property. Additionally, in noncommutative geometry, paths of *-automorphisms adhere to unique path lifting, despite the absence of traditional paths and points. This unique path-lifting property is crucial in various mathematical contexts, ensuring that paths and their liftings behave in a well-defined and consistent manner, facilitating the study of complex structures and mappings.
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