- Tytuł:
- Bimorphisms in pro-homotopy and proper homotopy
- Autorzy:
-
Dydak, Jerzy
Ruiz del Portal, Francisco - Powiązania:
- https://bibliotekanauki.pl/articles/1205242.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
epimorphism
monomorphism
pro-homotopy
shape
proper homotopy - Opis:
- A morphism of a category which is simultaneously an epimorphism and a monomorphism is called a bimorphism. The category is balanced if every bimorphism is an isomorphism. In the paper properties of bimorphisms of several categories are discussed (pro-homotopy, shape, proper homotopy) and the question of those categories being balanced is raised. Our most interesting result is that a bimorphism f:X → Y of $tow(H_0)$ is an isomorphism if Y is movable. Recall that $\tow(H_0)$ is the full subcategory of $pro-H_0$ consisting of inverse sequences in $H_0$, the homotopy category of pointed connected CW complexes.
- Źródło:
-
Fundamenta Mathematicae; 1999, 160, 3; 269-286
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł