Note on function spaces with the topology of pointwise convergence

0175353 - MU-W 20030105 RIV CH eng J - Journal Article
van Mill, J. - Pelant, Jan - Pol, R.
Note on function spaces with the topology of pointwise convergence.
Archiv der Mathematik. Roč. 80, č. 6 (2003), s. 655-663. ISSN 0003-889X. E-ISSN 1420-8938
R&D Projects: GA ČR GA201/00/1466
Institutional research plan: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Keywords : non-Lindelöf function space * problem of Arhangel'skii * function spaces
Subject RIV: BA - General Mathematics
Impact factor: 0.321, year: 2003

The note contains two examples of function spaces C.sup.p(X) endowed with the pointwise topology. The first example is C.sup.p (M), M being a planar continuum, such that C.sup.p(M).sub.m is uniformly homeomorphic to C.sup.p(M).sub.n if and only if m = n. This strengthens earlier results concerning linear homeomorphism. The second example is a non-Lindelöf function space......
Permanent Link: http://hdl.handle.net/11104/0072336