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LEADER: 02443cam a2200277 4500
001 001133555-6
005 20020606090541.3
008 731003s1966 ohua b 00010 eng
010 $a 66014401
035 0 $aocm00537672
040 $aDLC$cDLC$dm.c.
050 00 $aQA171$b.H68
100 1 $aHofmann, Karl Heinrich.
245 10 $aElements of compact semigroups$c[by] Karl Heinrich Hofmann [and] Paul S. Mostert.
260 0 $aColumbus, Ohio,$bC. E. Merrill Books$c[1966]
300 $axiii, 384 p. :$billus. ;$c24 cm.
440 0 $aMerrill research and lecture series
504 $aBibliography: p. 353-361.
505 0 $aChapter A. Preliminaries. The minimal ideal -- Homomorphisms and congruences -- Ideals and quasi-orders -- The Schützenberger group and regular D-classes -- Rees products -- Clifford semigroups -- The semigroup of compact sets -- Projective limits -- Cohomology properties of compact semigroups -- The first fundamental theorem of compact semigroups -- Historical notes -- Chapter B. Basic theory. The centralizer of abelian groups of units -- Monothetic and solenoidal semigroups -- Cylindrical semigroups -- The existence of one-parameter semigroups -- Connected abelian subsemigroups -- The hormos and irreducibility -- The peripheral position of the group of units -- Peripherality and the location of one-parameter semigroups -- Chapter C. Further developments. Totally ordered D-class decompositions -- Semigroups which are totally ordered modulo a group of units -- Fibering over the minimal ideal -- One-dimensional semigroups -- Chapter D. Examples -- Appendix I. Groups. Locally compact abelian groups -- Miscellaneous theorems about compact groups -- Some facts about Lie groups -- Acyclic coset spaces of compact groups -- Appendix II. Transformation groups. The local cross-section theorems -- (n-1)-dimensional orbits on manifolds -- Compact groups acting on acyclic compact spaces -- Appendix III. Topological results. Miscellaneous results of topology -- Peripherality in topological spaces -- Admissibility of finite dimensional spaces.
650 0 $aGroup theory.
650 0 $aSemigroups.
700 1 $aMostert, Paul S.$q(Paul Stallings),$ejoint author.
700 1 $aMostert, Paul S.$q(Paul Stallings),$eauthor.
776 08 $iOnline version:$aHofmann, Karl Heinrich.$tElements of compact semigroups.$dColumbus, Ohio, C.E. Merrill Books [1966]$w(OCoLC)625935789
988 $a20020608
906 $0DLC