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A characterization of |
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| Authors: | A. V. Arhangel'skii J. Calbrix |
| Affiliation: | January--June: Department of Mathematics, Ohio University, Athens, Ohio 45701 - July--December: Department of Mathematics, Moscow State University, Moscow 119 899, Russia ; Université de Rouen, URA CNRS 1378, UFR de Sciences, 76821 Mont Saint Aignan Cedex, France |
| Abstract: | This work is devoted to the relationship between topological properties of a space  and those of  (= the space of continuous real-valued functions on  , with the topology of pointwise convergence). The emphasis is on  -compactness of  and on location of  in  . In particular,  -compact cosmic spaces are characterized in this way. |
| Keywords: | Function spaces topology of pointwise convergence $sigma $-compactness $K$-analytic spaces |
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