Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Paul E. Long"'
Autor:
Larry L. Herrington, Paul E. Long
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 4, Iss 4, Pp 823-825 (1981)
M. K. Singal and Asha Rani Singal have defined an almost-continuous function f:X→Y to be one in which for each x∈X and each regular-open set V containing f(x), there exists an open U containing x such that f(U)⊂V. A space Y may now be defined t
Externí odkaz:
https://doaj.org/article/a1775541cade49e881760206724468bc
Autor:
Paul E. Long, Larry L. Herrington
Publikováno v:
Proceedings of the American Mathematical Society. 52:417-426
This paper gives characterizations of C C -compact spaces, some of which make use of nets. Sufficient conditions for a space to be C C -compact are given which make use of the graphs of weakly-continuous functions and a class of spaces which contains
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d002c4710f0110e1ebdb5277153f049c
https://doi.org/10.1090/s0002-9939-1975-0388345-0
https://doi.org/10.1090/s0002-9939-1975-0388345-0
Autor:
Paul E. Long, Larry L. Herrington
Publikováno v:
Rendiconti del Circolo Matematico di Palermo. 27:20-28
A functionf∶X→Y is defined to be regular-closed if for each regular-closedA⊂X, f(A) is closed inY. Numerous theorems are presented which give properties of such functions as well as sufficient conditions for a function to be regular-closed. Com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::544a1cfbdb42eb2ec838d344c4f0dad1
https://doi.org/10.1007/bf02843863
https://doi.org/10.1007/bf02843863
Autor:
T. R. Hamlett, Paul E. Long
Publikováno v:
Proceedings of the American Mathematical Society. 53:470-476
For a function f : X → Y f:X \to Y , the cluster set of f f at x ϵ X x\epsilon X is the set of all y ϵ Y y\epsilon Y such that there exists a filter F \mathcal {F} on X X converging to x x and the filter generated by f ( F ) f(\mathcal {F}) conve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a192f591b42791c49313bec6b991546
https://doi.org/10.1090/s0002-9939-1975-0388312-7
https://doi.org/10.1090/s0002-9939-1975-0388312-7
Autor:
Paul E. Long, Donald A. Carnahan
Publikováno v:
Proceedings of the American Mathematical Society. 38:413-418
Three definitions as to when a function from one topological space to another is called almost continuous are cited from the literature. Similarities and dissimilarities of two of these definitions are discussed. Introduction. Recent mathematical lit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c95c63895e5acb1b89d9a7fbc584af6
https://doi.org/10.1090/s0002-9939-1973-0310824-0
https://doi.org/10.1090/s0002-9939-1973-0310824-0
Autor:
Earl E. McGehee, Paul E. Long
Publikováno v:
Proceedings of the American Mathematical Society. 24:175-180
Introduction. Professor T. Husain [2] has defined the concept of an almost continuous function from one topological space into another and investigated some of their properties. His definition is as follows: DEFINITION 1. The functionf: X-> Y is almo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d17a442236a3d501ef70142609c34503
https://doi.org/10.1090/s0002-9939-1970-0251704-6
https://doi.org/10.1090/s0002-9939-1970-0251704-6
Autor:
Larry L. Herrington, Paul E. Long
Publikováno v:
Rendiconti del Circolo Matematico di Palermo. 25:158-160
The graphG(f) off:X→y is defined to be *-closed if for each (x, y)∋G(f) there exist open setsU andV containingx andy, respectively, such thatU×Int (cl(V))=0. A characterization ofH-closed Urysohn spaces is obtained using functions with *-closed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62aa255f0336d133df8cdc993d06fc1b
https://doi.org/10.1007/bf02849569
https://doi.org/10.1007/bf02849569
Autor:
Paul E. Long
Publikováno v:
Duke Math. J. 28, no. 4 (1961), 639-645
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b7f0dced6b104b7729d316a16d52721
http://projecteuclid.org/euclid.dmj/1077469845
http://projecteuclid.org/euclid.dmj/1077469845
Autor:
Larry L. Herrington, Paul E. Long
Publikováno v:
Proceedings of the American Mathematical Society. 57:373-374
This paper gives a characterization of minimal Hausdorff spaces. 1. Preliminary definitions and theorems. A net C: 6D -> X r-converges1 to x0 E X if for each open V containing x0, there exists a d E 6D such that C(Td) C cl (V) [2]. A net C: 6D -* X r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35acf46edc64001ac9a5f03c1426bbb5
https://doi.org/10.1090/s0002-9939-1976-0405355-6
https://doi.org/10.1090/s0002-9939-1976-0405355-6
Autor:
Paul E. Long
Publikováno v:
Proceedings of the American Mathematical Society. 21:117-118
Introduction. Professor John Jones, Jr., [31, introduces a semiconnected map f: X-Y as one in which f-l preserves closed connected subsets of Y, and gives conditions under which a semiconnected map is continuous or is a homeomorphism. Theorem 1 of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7f5875481f5a97c744f28ebcf986798
https://doi.org/10.1090/s0002-9939-1969-0236890-8
https://doi.org/10.1090/s0002-9939-1969-0236890-8