Continuous decompositions of Peano plane continua into pseudo-arcs

• Autorzy: Janusz R. Prajs
• Języki publikacji: EN

Abstrakty

EN

Locally planar Peano continua admitting continuous decomposition into pseudo-arcs (into acyclic curves) are characterized as those with no local separating point. This extends the well-known result of Lewis and Walsh on a continuous decomposition of the plane into pseudo-arcs.

Słowa kluczowe

EN

continuous decomposition; locally connected continuum; local separating point; open homogeneity; pseudo-arc; 2-manifold

Kategorie tematyczne

• 54F50: Spaces of dimension ≤ 1 ; curves, dendrites
• 54F15: Continua and generalizations
• 54F99: None of the above, but in this section
• 54F65: Topological characterizations of particular spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 158
• Numer: 1
• Strony: 23-40

Daty

wydano

1998

otrzymano

1996-12-11

poprawiono

1997-11-18

poprawiono

1998-04-14

Twórcy

autor

Janusz R. Prajs

• Institute of Mathematics, Opole University, Oleska 48, 45-052 Opole, Poland,

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