Metrizability of Decomposition Spaces

Linear Operators with Compact Supports, Probability Measures and Milyutin Maps

The notion of a regular operator with compact supports between function spaces is introduced. On that base we obtain a characterization of absolute extensors for 0-dimensional spaces in terms of regular extension operators having compact supports. Milyutin maps are also considered and it is established that some topological properties, like paracompactness, metrizability and k-metrizability, ar...

A note on the remainders of rectifiable spaces

In this paper‎, ‎we mainly investigate how the generalized metrizability properties of the remainders affect the metrizability of rectifiable spaces‎, ‎and how the character of the remainders affects the character‎ ‎and the size of a rectifiable space‎. ‎Some results in [A. V‎. ‎Arhangel'skii and J‎. ‎Van Mill‎, ‎On topological groups with a first-countable remainder‎, ‎Topology Proc. 42 (2013...

Metrizability of spaces of homomorphisms between metric vector spaces

Ťhis note tries to give an answer to the following question: Is there a sufficiently rich class of metric vector spaces such that sufficiently large spaces of continuous linear maps between them are metrizable?

Topology Proceedings 4 (1979) pp. 1-12: QUASI-METRIZABILITY AND THE gamma-SPACE PROPERTY IN CERTAIN GENERALIZED ORDERED SPACES

Metrizability of Spaces of R-places of Function Fields of Transcendence Degree 1 over Real Closed Fields

In this paper we discuss the question ”When do different orderings of the rational function field R(X) (where R is a real closed field) induce the same R-place?”. We use this to show that if R contains a dense real closed subfield R′, then the spaces of R-places of R(X) and R′(X) are homeomorphic. For the function field K = R(X) we prove that its space M(K) of R-places is metrizible if and only...