Open maps between Knaster continua

• Autorzy: Carl Eberhart , J. B. Fugate , Shannon Schumann
• Języki publikacji: EN

Abstrakty

EN

We investigate the set of open maps from one Knaster continuum to another. A structure theorem for the semigroup of open induced maps on a Knaster continuum is obtained. Homeomorphisms which are not induced are constructed, and it is shown that the induced open maps are dense in the space of open maps between two Knaster continua. Results about the structure of the semigroup of open maps on a Knaster continuum are obtained and two questions about the structure are posed.

Słowa kluczowe

EN

continuum; degree; indecomposable; (induced) open mapping; semigroup; approximating sequence

Kategorie tematyczne

• 54H25: Fixed-point and coincidence theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 162
• Numer: 2
• Strony: 119-148

Daty

wydano

1999

otrzymano

1997-09-30

poprawiono

1999-05-04

Twórcy

autor

Carl Eberhart

• Department of Mathematics, University of Kentucky, Lexington, KY 40506, U.S.A.

autor

J. B. Fugate

• Department of Mathematics, University of Kentucky, Lexington, KY 40506, U.S.A.

autor

Shannon Schumann

• Department of Mathematics, University of Kentucky, Lexington, KY 40506, U.S.A.

Bibliografia

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