A NOTE ON GENERALIZED WHITNEY MAPS

A NOTE ON GENERALIZED WHITNEY MAPS
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关于广义惠特尼地图的注释

DOI:
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发表时间:
2015
期刊:
影响因子:
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通讯作者:
I. Loncar
I. Loncar
中科院分区:
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文献类型:
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作者:
Matematiqki Vesnik;I. Loncar;I. Loncar

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对于可度量化连续统,存在著名的惠特尼映射的概念。Garcıa-Velazquez将Whitney映射的定义推广到C(X),其中X是任意连续统(不一定是可度量化的)。他还表明,他考虑的例子不承认这种广义惠特尼映射。本文将研究容许这种广义Whitney映射的连续统的性质。
For metrizable continua, there exists the well-known notion of a Whitney map. Garcıa-Velazquez extends the definition of Whitney map for C(X), where X is an arbitrary continuum (not necessarily metrizable). He also shows that the examples he considers do not admit such generalized Whitney maps. In this paper we shall investigate the properties of continua which admit such generalized Whitney maps.