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pro vyhledávání: '"Larry L. Herrington"'
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:
Larry L. Herrington
Publikováno v:
Proceedings of the American Mathematical Society. 55:435-439
This paper gives characterizations of Urysohn-closed and minimal Urysohn spaces, some of which make use of nets.
Autor:
Larry L. Herrington
Publikováno v:
Proceedings of the American Mathematical Society. 45:431-436
A general product theorem for nearly-compact spaces and locally nearly-compact spaces is given along with other relating properties.
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
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
Autor:
Larry L. Herrington
Publikováno v:
Proceedings of the American Mathematical Society. 55:140-144
This paper gives several characterizations of completely Hausdorff-closed spaces.
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
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
Autor:
Paul E. Long, Larry L. Herrington
Publikováno v:
Proceedings of the American Mathematical Society. 57:373
Autor:
Larry L. Herrington, Paul E. Long
Publikováno v:
Proceedings of the American Mathematical Society. 48:469-469