Książka - szczegóły

CONTENTS

Introduction....................................................................................................................................... 5
 List of categories........................................................................................................................ 8
1. GALOIS CONNECTIONS................................................................................................................... 10
 a. The basic theory of Galois connections............................................................................. 10
 b. Applications of Galois connections to compact semilattices........................................ 13
 c. Supplementary results on Lawson semilattices.............................................................. 16
2. COMPACT ZERO-DIMENSIONAL SEMILATTICES WITH COMPLETE DUAL............................. 19
 a. Dual completeness............................................................................................................... 19
 b. The compact closure operator............................................................................................. 21
 c. Algebraic and order theoretic characterization of Lawson semilattices....................... 24
 d. The functoriality of j, c, m......................................................................................................... 28
3. THE (RIGHT) REFLECTOR P : CL → D
 a. The ideal lattice......................................................................................................................... 33
 b. The morphism $s_L : L → PL$.............................................................................................. 35
 c. The functor P : CL → D............................................................................................................. 36
 d. PL as a projective object......................................................................................................... 37
4. ON THE FINE STRUCTURE OF PL................................................................................................... 42
 a. The construction of A(L).......................................................................................................... 42
 b. On the geometric structure of PL........................................................................................... 47
5. EXAMPLES, APPLICATIONS................................................................................................................ 50

Bibliography........................................................................................................................................ 54