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On fans

100%
EN
CONTENTS § 1. Introduction....................................................................................................................................................................... 5 § 2. Preliminaries.................................................................................................................................................................... 6 § 3. Smoothness..................................................................................................................................................................... 7 § 4. Uniform arcwise connectedness................................................................................................................................. 12 § 5. Countable smooth fans.................................................................................................................................................. 14 § 6. Applications. Families of n incomparable countable geometrical fans for each n = 2,3,.................................. 21 § 7. Folding fans...................................................................................................................................................................... 24 § 8. Contractibility.................................................................................................................................................................... 30 § 9. Confluent mappings....................................................................................................................................................... 32 § 10. The summarized table................................................................................................................................................. 35 References............................................................................................................................................................................... 37
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Strongly chaotic dendrites

60%
EN
The concept of a strongly chaotic space is introduced, and its relations to chaotic, rigid and strongly rigid spaces are studied. Some sufficient as well as necessary conditions are shown for a dendrite to be strongly chaotic.
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60%
EN
The article contains no abstract
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Mapping hierarchy for dendrites

54%
EN
CONTENTS 1. Introduction..................................................................5 2. Preliminaries................................................................6 3. Hierarchy of spaces.....................................................7 4. Dendrites.....................................................................9 5. Monotone and confluent mappings............................13 6. Open mappings ........................................................22 7. Problems ...................................................................51 References....................................................................51
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Confluent mappings of fans

54%
EN
CONTENTS 1. Introduction.......................................................5 2. Preliminaries ....................................................8 3. General properties .........................................11 4. Mappings onto fans........................................14 5. Mappings onto an arc.....................................20 6. A characterization of the top...........................27 7. Open mappings and their lightness................28 8. Inverse limits...................................................39 9. Local connectedness......................................41 10. Planability......................................................43 11. Smoothness..................................................48 12. The property of Kelley...................................57 13. Contractibility................................................67 14. Selectibility....................................................77 15. Final remarks...............................................80 References.........................................................82
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Homotopically fixed arcs and the contractibility of dendroids

42%
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Concerning the fixed point property for λ-dendroids

42%
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Two invariants under continuity and the incomparability of fans

42%
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Remarks on some class of continuous mappings of λ-dendroids

42%
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On ramification points in the classical sense

36%
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Remarque à un travail de Z. Waraszkiewicz

36%
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Confluent mappings and unicoherence of continua

36%
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An example of a monostratiform λ-dendroid

36%
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On smooth dendroids

31%
16
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On contractible dendroids

31%
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Remarks on non-planable dendroids

30%
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On decompositions of continua

30%
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Smooth dendroids without ordinary points

30%
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On decompositions of λ-dendroids

30%
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