Lindelöf powers and products of function spaces
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- by Oleg Okunev and Kenichi Tamano
- Proc. Amer. Math. Soc. 124 (1996), 2905-2916
- DOI: https://doi.org/10.1090/S0002-9939-96-03629-5
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Abstract:
We give criteria for finite and countable powers of a space similar to the Michael line being Lindelöf. As applications, we give examples related to Lindelöf property in products of spaces of Michael line type and in products of spaces of continuous functions on separable $\sigma$-compact spaces.References
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Bibliographic Information
- Oleg Okunev
- Affiliation: Computer Science and Engineering Laboratory, The University of Aizu, Ikki machi, Aizu-Wakamatsu City, Fukushima 965, Japan
- Address at time of publication: Facultad de Ciencias, Departamento de Matematicas, Ciudad Universitaria, Circuito Exterior, C. P. 04510, Mexico D. F., Mexico
- Email: o-okunev@rsc.u-aizu.ac.jp, oleg@lya.fciencias.unam.mx
- Kenichi Tamano
- Affiliation: Department of Mathematics, Faculty of Engineering, Yokohama National University, 156 Tokiwadai, Hodogaya, Yokohama 240, Japan
- Email: tamano@math.sci.ynu.ac.jp
- Received by editor(s): July 22, 1994
- Received by editor(s) in revised form: March 2, 1995
- Communicated by: Franklin D. Tall
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2905-2916
- MSC (1991): Primary 54C35, 54D20
- DOI: https://doi.org/10.1090/S0002-9939-96-03629-5
- MathSciNet review: 1353393