A new quotient hyperspace HS(p,X)=C(X)/C(p,X) is defined, and its topological properties are shown to reflect properties of the underlying continuum X.
Bennett, Aposyndetic properties of unicoherent continua , Pacific J
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The hyperspaces $HS(p,X)$
A new quotient hyperspace HS(p,X)=C(X)/C(p,X) is defined, and its topological properties are shown to reflect properties of the underlying continuum X.