JEDNOSTKA NAUKOWA KATEGORII A+

$C$- and $C^{\ast}$-quotients in pointfree topology

Tom 412 / 2002

Richard N. Ball, Joanne Walters-Wayland Dissertationes Mathematicae 412 (2002), 1-62 MSC: Primary 06D22, 06F25; Secondary 54B30, 54G05, 54G10, 18B30. DOI: 10.4064/dm412-0-1

Streszczenie

We generalize a major portion of the classical theory of $C$- and $C^{\ast} $-embedded subspaces to pointfree topology, where the corresponding notions are frame $C$- and $C^{\ast}$-quotients. The central results characterize these quotients and generalize Urysohn's Extension Theorem, among others. The proofs require calculations in $CL$, the archimedean $f$-ring of frame maps from the topology of the reals into the frame $L$. We give a number of applications of the central results.

Autorzy

  • Richard N. BallDepartment of Mathematics
    University of Denver
    Denver, CO 80208, U.S.A.
    e-mail
  • Joanne Walters-WaylandDepartment of Mathematics
    University of Denver
    Denver, CO 80208, U.S.A.
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek