Continuum TheoryAlejandro Illanes, Sergio Macias, Ira Lewis CRC Press, 2002 M07 25 - 360 páginas Celebrating the work of world-renowned mathematician Sam B. Nadler, Jr., this reference examines the most recent advances in the analysis of continua. The book offers articles on the contributions of Professor Nadler, theorems on the structure and uniqueness of hyperspaces, results on the dynamics of solenoids, examples involving inverse limits of |
Contenido
THE LIFE AND TIMES OF SAM B NADLER JR | 3 |
THE WORK OF SAM B NADLER JR ON HYPERSPACES | 9 |
CONTINUA WITH UNIQUE HYPERSPACE | 33 |
ORDERED EMBEDDINGS OF HYPERSPACES | 51 |
EMBEDDING SYMMETRIC PRODUCTS IN EUCLIDEAN SPACES | 67 |
ON STRONGLY MONOTONE MAPPINGS | 81 |
ON SEMIUNIVERSAL MAPPINGS | 95 |
PROBLEMS ON HYPERSPACE RETRACTIONS | 113 |
THE RNT PROPERTY ON COMPACTIFICATIONS OF THE RAY | 211 |
NONCONFLUENCE OF THE NATURAL MAP OF PRODUCTS ONTO SYMMETRIC PRODUCTS JORGE M MARTINEZMONTEJANO | 229 |
BOUNDARY BUMPING IN CONNECTED TOPOLOGICAL SPACES | 237 |
THE SELECTION SPACE OF A DENDROID I | 245 |
ON PERIOD THREE AND TOPOLOGICAL ENTROPY IN HEREDITARILY DECOMPOSABLE ARCLIKE CONTINUA | 271 |
A FIXED POINT THEOREM FOR CERTAIN MAPS ON CERTAIN NONSEPARATING PLANE CONTINUA | 281 |
DENDROIDS DIGRAPHS AND POSETS | 285 |
SEQUENTIAL DECREASING WHITNEY PROPERTIES | 297 |
THE DYNAMICS OF MAPS OF SOLENOIDS HOMOTOPIC TO THE IDENTITY | 127 |
THE BUCKETHANDLE CONTINUUM ADMITS NO MEAN | 137 |
INVERSE LIMITS ON 01 USING PIECEWISE LINEAR UNIMODAL BONDING MAPS II | 143 |
A TALE OF SIX ATRIODIC TREELIKE CONTINUA | 163 |
HYPERSPACES LOCALLY 2CELL AT THE TOP | 173 |
CANTOR SETS OF RAY COMPOSANTS IN LOCAL SIEGEL DISK BOUNDARIES | 191 |
MORE ON PRODUCTS OF EFFROS SPACES | 307 |
CONTINUA IRREDUCIBLE ABOUT n POINTS | 313 |
A NOTE ON COMPUTATION OF SPAN | 319 |
SPANS OF SPACES CONTAINED IN A CONVEX DISC CROSS AN ARC | 321 |
PROBLEMS | 331 |
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A₁ Amer arc-like arcwise connected bonding map C₁ Cantor set chainable circle-like Claim clc(x compact compactification components cone connected subset connectedness construct contains continua continuous function Continuum Theory contradiction convex Corollary D₁ define dendrite denote disjoint element endpoint Example exists F₁ F₁(X finite fixed point property graph h F₁(Y Hausdorff Hence hereditarily indecomposable Hilbert cube homeomorphic hyperspace Illanes implies indecomposable continuum inverse limit IR³ irreducible J. J. Charatonik K₁ Lemma locally connected M₁ mapping f Marcel Dekker Math Mathematics Subject Classification metric space MÉXICO nondegenerate nonempty one-to-one order arc ordered embedding p-dendroid positive integer Proof proper subcontinuum Proposition prove pseudo-arc resp result retraction S. B. Nadler satisfies SB(K selection sequence simple closed curve smooth dendroid stair-step strongly monotone Suppose surjective Theorem Topology triod unicoherent Whitney level Whitney map X₁