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Lindelöf powers and products of function spaces

Author(s): Oleg Okunev; Kenichi Tamano
Journal: Proc. Amer. Math. Soc. 124 (1996), 2905-2916.
MSC (1991): Primary 54C35, 54D20
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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.

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Additional 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

DOI: 10.1090/S0002-9939-96-03629-5
PII: S 0002-9939(96)03629-5
Keywords: Sets of reals, products, Lindel\"{o}f spaces, function spaces
Received by editor(s): July 22, 1994
Received by editor(s) in revised form: March 2, 1995
Communicated by: Franklin D. Tall
Copyright of article: Copyright 1996, American Mathematical Society

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