Covariant Functors and Shapes in Category of Compacta
In this paper, we consider covariant functors F : Comp → Comp acting in category of shape-preserving compact sets [2], infinite compact sets, and shape equivalence [6]. Also we study action of compact functors and shape properties of the compact space X consisting of connected components X of the co...
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-07, Vol.265 (1), p.21-32 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we consider covariant functors
F
:
Comp → Comp
acting in category of shape-preserving compact sets [2], infinite compact sets, and shape equivalence [6]. Also we study action of compact functors and shape properties of the compact space
X
consisting of connected components
X
of the compact
X
as well as shape identity
ShX
=
ShY
of infinite compacts
X
and
Y
for the space
P
(
X
) of probability measures and its subspaces. |
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| ISSN: | 1072-3374 1573-8795 |
| DOI: | 10.1007/s10958-022-06041-1 |