Topological Groups and Related Structures

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atlantis press, 2008 - 781 Seiten
2 Rezensionen
This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groups and semigroups, paratopological groups, etc. Special emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the automatic continuity of the operation. The main scope of the book, however, is outside of the locally compact structures, thus distinguishing the monograph from a series of more traditional textbooks.The book is unique in that it presents very important material, dispersed in hundreds of research articles, not covered by any monograph in existence. The reader is gently introduced to an amazing world at the interface of Algebra, Topology, and Set Theory. He/she will find that the way to the frontier of the knowledge is quite short — almost every section of the book contains several intriguing open problems whose solutions can contribute significantly to the area.
 

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Inhalt

III
1
IV
12
V
18
VI
26
VII
37
VIII
46
IX
62
X
66
LII
366
LIII
374
LIV
378
LV
385
LVI
388
LVII
395
LVIII
407
LIX
409

XI
81
XII
87
XIII
90
XIV
91
XV
97
XVI
109
XVII
120
XVIII
129
XIX
131
XX
134
XXI
147
XXII
151
XXIII
162
XXIV
173
XXV
181
XXVI
193
XXVII
202
XXVIII
212
XXIX
216
XXX
217
XXXI
226
XXXII
230
XXXIII
249
XXXIV
255
XXXV
264
XXXVI
273
XXXVII
282
XXXVIII
285
XXXIX
286
XL
296
XLI
303
XLII
316
XLIII
323
XLIV
329
XLV
336
XLVI
343
XLVII
345
XLVIII
346
XLIX
351
L
354
LI
359
LX
424
LXI
443
LXII
446
LXIII
453
LXIV
456
LXV
476
LXVI
482
LXVII
490
LXVIII
499
LXIX
511
LXX
515
LXXI
526
LXXII
532
LXXIII
535
LXXIV
538
LXXV
550
LXXVI
562
LXXVII
565
LXXVIII
569
LXXIX
571
LXXX
576
LXXXI
581
LXXXII
594
LXXXIII
604
LXXXIV
610
LXXXV
621
LXXXVI
624
LXXXVII
633
LXXXVIII
663
LXXXIX
666
XC
675
XCI
692
XCII
697
XCIII
708
XCIV
716
XCV
723
XCVI
732
XCVII
iii
XCVIII
v
XCIX
761
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