Induced mappings on hyperspaces

DOI10.21099/TKBJM/1496163175zbMath0948.54016OpenAlexW4233429213MaRDI QIDQ1375786

Hiroshi Hosokawa

Publication date: 19 November 2000

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496163175

zbMATH Keywords

monotone mappingsopen mappingsconfluent mappingsquasi-monotone mappingsweakly monotone mappings

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continuous maps (54C05)

Related Items (23)

Induced mappings on \(C_n(X)/C_{n_K}(X)\) ⋮ Various types of local connectedness in \(n\)-fold hyperspaces ⋮ Sequential decreasing strong size properties ⋮ Cells in hyperspaces ⋮ Induced mappings on the hyperspace of convergent sequences ⋮ Induced mappings on hyperspaces \(C(p,X)\) and \(K(X)\) ⋮ Induced mappings between quotient spaces of symmetric products of continua ⋮ \(R^4\)-continua and pseudo-contractibility ⋮ Induced mappings between quotient spaces of n-fold hyperspaces of continua ⋮ A degree of nonlocal connectedness. ⋮ Increasing strong size properties and strong size block properties ⋮ \(\frac{1}{2}\)-homogeneous \(n\)-fold hyperspace suspensions ⋮ A note on semi-open and almost open induced maps ⋮ On Jones' set function \(\mathcal{T}\) and the property of Kelley for Hausdorff continua ⋮ Induced maps on \(n\)-fold symmetric product suspensions ⋮ Inverse limits and openness of the induced mappings ⋮ Semi-openness and almost-openness of induced mappings ⋮ Some relationships between induced mappings ⋮ Induced mappings on hyperspaces \(C(p,X)\) and \(K(X)\), some answers ⋮ Noncut subsets of the hyperspace of subcontinua ⋮ Dynamics with set-valued functions and coselections ⋮ Induced mappings between hyperspaces \(HS (p, X)\) of continua ⋮ Openness of induced projections

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