Metrizabillity of certain quotient space
Topology on ordered fields
An ordered field is a field which has a linear order and the order topology by this order. For a subfield of an ordered field, we give characterizations for to be Dedekind-complete or Archimedean in terms of the order topology and the subspace topology on .
Tanaka spaces and products of sequential spaces
We consider properties of Tanaka spaces (introduced in Mynard F., , Comment. Math. Univ. Carolin. (2002), 525–530), strongly sequential spaces, and weakly sequential spaces. Applications include product theorems for these types of spaces.
Products of -spaces, and questions
As is well-known, every product of a locally compact space with a -space is a -space. But, the product of a separable metric space with a -space need not be a -space. In this paper, we consider conditions for products to be -spaces, and pose some related questions.
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