Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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GENERALIZED PRODUCT TOPOLOGY

  • Wu, Xinxing (School of Mathematics University of Electronic Science and Technology of China) ;
  • Zhu, Peiyong (School of Mathematics University of Electronic Science and Technology of China)
  • Received : 2012.11.15
  • Published : 2013.10.31
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Abstract

Similarly to Tychonoff product, we introduce the concept of generalized product topology which is different from the notion of product of generalized topologies in [$\acute{A}$. $Cs\acute{a}sz\acute{a}r$, Acta Math. Hungar. 123 (2009), 127-132] for generalized topology and obtain some properties about it. Besides, we prove that connectedness, ${\sigma}$-connectedness and ${\alpha}$-connectedness are all preserved under this product.

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References

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