Cohomology theories on compact and locally compact spaces.

Título inglés	Cohomology theories on compact and locally compact spaces.
Título español	Teorías cohomológicas en espacios compactos y localmente compactos.
Autor/es	Spanier, Edwin
Organización	Dep. Math. Univ. California-Berkeley, Berkeley (California), Estados Unidos
Revista	0213-2230
Publicación	1986, 2 (1-2): 29-53, 18 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	This paper is devoted to an exposition of cohomology theories on categories of spaces where the cohomology theories satisfy the type of axiom system considered in [1, 12, 16, 17, 18]. The categories considered are Ccomp, the category of all compact Haudorff spaces and continuous functions between them, and Cloc comp, the category of all locally compact Hausdorff spaces and proper continuous functions between them. The fundamental uniqueness theorem for cohomology theories on a finite dimensional space implies a corresponding uniqueness theorem for cohomology theories on either of these two categories. The proof involves an extension of the uniqueness theorem for finite dimensional spaces to compact spaces which contrasts with the usual type of proof which involves a uniqueness proof for polyhedra and an extension to compact spaces.
Clasificación UNESCO	121002
Palabras clave español	Cohomología ; Espacio de Hausdorff ; Espacio topológico compacto
Código MathReviews	MR0864652
Código Z-Math	Zbl 0605.55004
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