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We show that the study of topological T0-spaces with a finite number of points agrees essentially with the study of polyhedra, by means of the geometric realization of finite spaces. In this paper all topological spaces are assumed to be T0.
@article{NavarroGonzález1990, abstract = {We show that the study of topological T0-spaces with a finite number of points agrees essentially with the study of polyhedra, by means of the geometric realization of finite spaces. In this paper all topological spaces are assumed to be T0.}, author = {Navarro González, Juan A.}, journal = {Extracta Mathematicae}, keywords = {Espacios topológicos; Topología del orden; Cohomología; finite spaces; sheaf cohomology; geometrical realization}, language = {eng}, number = {1}, pages = {32-34}, title = {Finite topological spaces.}, url = {http://eudml.org/doc/39863}, volume = {5}, year = {1990}, }
TY - JOUR AU - Navarro González, Juan A. TI - Finite topological spaces. JO - Extracta Mathematicae PY - 1990 VL - 5 IS - 1 SP - 32 EP - 34 AB - We show that the study of topological T0-spaces with a finite number of points agrees essentially with the study of polyhedra, by means of the geometric realization of finite spaces. In this paper all topological spaces are assumed to be T0. LA - eng KW - Espacios topológicos; Topología del orden; Cohomología; finite spaces; sheaf cohomology; geometrical realization UR - http://eudml.org/doc/39863 ER -