Decompositions of cyclic elements of locally connected continua

• Autorzy: D. Daniel
• Języki publikacji: EN

Abstrakty

EN

Let X denote a locally connected continuum such that cyclic elements have metrizable $G_{δ}$ boundary in X. We study the cyclic elements of X by demonstrating that each such continuum gives rise to an upper semicontinuous decomposition G of X into continua such that X/G is the continuous image of an arc and the cyclic elements of X correspond to the cyclic elements of X/G that are Peano continua.

Kategorie tematyczne

• 54F05: Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
• 54D05: Connected and locally connected spaces (general aspects)
• 54B15: Quotient spaces, decompositions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 119
• Numer: 2
• Strony: 321-330

Daty

wydano

2010

Twórcy

autor

D. Daniel

• Department of Mathematics, Lamar University, Beaumont, TX 77710, U.S.A.

Identyfikatory

DOI

10.4064/cm119-2-10