Countable productivity of a class of pseudoradial spaces

Author:
Angelo Bella

Journal:
Proc. Amer. Math. Soc. **119** (1993), 637-640

MSC:
Primary 54B10; Secondary 54A25

DOI:
https://doi.org/10.1090/S0002-9939-1993-1172957-1

MathSciNet review:
1172957

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Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that the class of compact -monolithic spaces is countably productive.

**[1]**A. V. Arhangel′skiĭ and A. Bella,*The product of biradial compact spaces*, Topology Appl.**45**(1992), no. 2, 157–162. MR**1168668**, https://doi.org/10.1016/0166-8641(92)90055-5**[2]**A. V. Arhangel′skiĭ, R. Isler, and G. Tironi,*Pseudoradial spaces and another generalization of sequential spaces*, Convergence structures 1984 (Bechyně, 1984) Math. Res., vol. 24, Akademie-Verlag, Berlin, 1985, pp. 33–37. MR**835468****[3]**Angelo Bella,*More on the product of pseudo radial spaces*, Comment. Math. Univ. Carolin.**32**(1991), no. 1, 125–128. MR**1118296****[4]**A. Bella and J. Gerlits,*On a condition for the pseudo radiality of a product*, Comment. Math. Univ. Carolin.**33**(1992), no. 2, 311–313. MR**1189662****[5]**Zdeněk Frolík and Gino Tironi,*Products of chain-net spaces*, Riv. Mat. Pura Appl.**5**(1989), 7–11. MR**1061337****[6]**I. Juhász and Z. Szentmiklossy,*Sequential compactness versus pseudo radiality in compact spaces*(to appear).**[7]**V. I. Malyhin,*On the tightness and Suslin number of**and of a product of spaces*, Soviet Math. Dokl.**13**(1972), 496-499.**[8]**K. Malliha Devi, Paul R. Meyer, and M. Rajagopalan,*When does countable compactness imply sequential compactness?*, General Topology and Appl.**6**(1976), no. 3, 279–289. MR**0420552****[9]**G. Tironi,*On pseudo-radial and almost radial spaces*, General topology and its relations to modern analysis and algebra, VI (Prague, 1986) Res. Exp. Math., vol. 16, Heldermann, Berlin, 1988, pp. 567–575. MR**952639**

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1993-1172957-1

Keywords:
Product,
compact,
pseudoradial,
-monolithic

Article copyright:
© Copyright 1993
American Mathematical Society