caa a22 4500 386307075 CHVBK 20180307111533.0 cr unu---uuuuu 161130e198804 xx s 000 0 eng 10.1017/S1446788700029839 doi S1446788700029839 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700029839 Borges Carlos R. Department of Mathematics University of California Davis, California 95616, U.S.A. LECs, Local Mixers, Topological Groups and Special Products [Elektronische Daten] [Carlos R. Borges] We prove that every (locally) contractible topological group is (L)EC and apply these results to homeomorphism groups, free topological groups, reduced products and symmetric products. Our main results are: The free topological group of a θ-contractible space is equiconnected. A paracompact and weakly locally contractible space is locally equiconnected if and only if it has a local mixer. There exist compact metric contractible spaces X whose reduced (symmetric) products are not retracts of the Graev free topological groups F(X) (A(X)) (thus correcting results we published ibidem). Copyright © Australian Mathematical Society 1988 priamry 54 C 55 nationallicence secondary 22 A 05 nationallicence 57 S 05 nationallicence θ-contractible nationallicence free topological group nationallicence reduced product nationallicence symmetric product nationallicence (L)EC nationallicence (local) mixers nationallicence homeomorphism groups nationallicence Journal of the Australian Mathematical Society Cambridge University Press 44/2(1988-04), 252-258 1446-7887 44:2<252 1988 44 JAZ https://doi.org/10.1017/S1446788700029839 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700029839 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Borges Carlos R. Department of Mathematics University of California Davis, California 95616, U.S.A NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 44/2(1988-04), 252-258 1446-7887 44:2<252 1988 44 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge