Talk:Sequential space

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[edit] History

Is the history about Franklin correct? The book I'm reading (Archangelskii and Pontryagin, General topology I) goes on about sequential spaces and their properties without mentioning Franklin; and tacks on the names of Frechet and Urysohn to various defintions. Frechet and Urysohn are a couple of generations older than Franklin in 1965 ... It is implied that Franklin gave a category theory definition, is that right? That would make more sense to me. linas 16:02, 6 November 2006 (UTC)

Lots of textbooks go on about definitions of things without mentioning their first occurence in the literature. It's been a while since I read Franklin's original 1965 paper, but I seriously doubt Frechet and Urysohn defined "sequential space", as it is the class of sequential spaces which are exactly specified by the question that Franklin was trying to answer in his 1965 paper. And the 1965 paper did have category theory in it, if I remember, but the basic definition were just in terms of top. spaces. But, you should really read the original paper to be sure. Revoler