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This paper is devoted to the study of various notions of almost openness and almost homeomorphisms and the characterization of some of them in terms of the relative interior operator. Generally, openness (or quasi-openness) for a continuous map f is well known. We define openness (or quasi-openness) at a point x using the relative interior operator and characterize that a continuous map f is almost open, almost quasi-open, almost embedding and almost homeomorphsims.
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참고문헌 (9)
참고문헌 신청
E. Akin / 1993 / The General Topology of Dynamical Systems, A. M. S. Graduate Studies in Mathematics Vol. 1
E. Akin / 1997 / Recurrence in Topological Dynamics; furstenberg families and Ellis Actions / Plenum ZPress
T. Husain / 1977 / Topology and Maps, Mathematical concepts and methods in science and engineering Vol. 5 / Plenum Press
J. L. Kelly / 1975 / General Topology, Graduate Texts in Mathematics / Van Nostrand Company Inc
G. S. Kim / 2014 / Stability for a compact closed relation / Far East Journal of Applied Math 89(2):89~103
E. Akin / 1997 / Recurrence in Topological Dynamics; furstenberg families and Ellis Actions / Plenum ZPress
T. Husain / 1977 / Topology and Maps, Mathematical concepts and methods in science and engineering Vol. 5 / Plenum Press
J. L. Kelly / 1975 / General Topology, Graduate Texts in Mathematics / Van Nostrand Company Inc
G. S. Kim / 2014 / Stability for a compact closed relation / Far East Journal of Applied Math 89(2):89~103
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