caa a22 4500 388046988 CHVBK 20180307125040.0 cr unu---uuuuu 161130e199804 xx s 000 0 eng 10.1017/S1446788700001671 doi S1446788700001671 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700001671 Some properties of quasiuniform multifunction spaces [Elektronische Daten] The aim of this paper is to explore some properties of quasiuniform multifunction spaces. Various kinds of completeness of the quasiuniform multifunction space (YmX, UmX) are characterized in terms of suitable properties of the range space (Y, U). We also discuss the local compactness of quasiuniform multifunction spaces. By using the notion of small-set symmetry, the classic result of Hunsaker and Naimpally is extended to the quasiuniform setting. Copyright © Australian Mathematical Society 1998 primary 54C35 nationallicence secondary 54C60 nationallicence 54E15 nationallicence Quasiuniform nationallicence multifunction nationallicence complete nationallicence stable filter nationallicence Vietoris topology nationallicence Cao Jiling Department of Mathematics The University of Auckland Private Bag 92019 Auckland 1, New Zealand Reilly Ivan L. Department of Mathematics The University of Auckland Private Bag 92019 Auckland 1, New Zealand Romaguera Salvador Escuela de Caminos Departmento de Matemática Aplicada Universidad Politécnica de Valencia 46071 Valencia, Spain Journal of the Australian Mathematical Society Cambridge University Press 64/2(1998-04), 169-177 1446-7887 64:2<169 1998 64 JAZ https://doi.org/10.1017/S1446788700001671 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700001671 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cao Jiling Department of Mathematics The University of Auckland Private Bag 92019 Auckland 1, New Zealand NATIONALLICENCE 700 1- Reilly Ivan L. Department of Mathematics The University of Auckland Private Bag 92019 Auckland 1, New Zealand NATIONALLICENCE 700 1- Romaguera Salvador Escuela de Caminos Departmento de Matemática Aplicada Universidad Politécnica de Valencia 46071 Valencia, Spain NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 64/2(1998-04), 169-177 1446-7887 64:2<169 1998 64 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge