Czechoslovak Mathematical Journal, Vol. 54, No. 4, pp. 981-990, 2004

Productively Frechet spaces

Francis Jordan, Frederic Mynard

Department of Mathematical Sciences, Georgia Southern University, 203 Georgia Ave., Room 3008, Statesboro, GA 30458, U.S.A., e-mails: fmynard@georgiasouthern.edu, fjordan@georgiasouthern.edu

Abstract: We solve the long standing problem of characterizing the class of strongly Frechet spaces whose product with every strongly Frechet space is also Frechet.

Keywords: Frechet, strongly Frechet filters and spaces, product spaces

Classification (MSC 2000): 54B10, 54D55, 54D99, 54G20


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