On g-pseudo-contractibility of continua
Por:
Anaya J.G., Capulín F., Madrid-Mendoza L., Maya D.
Publicada:
1 ene 2020
Categoría:
Geometry and topology
Resumen:
Let f and g be maps between topological spaces X and Y. The maps f and g are called pseudo-homotopic provided that there exist a continuum C, points a,b?C and a map H:X×C?Y such that H(x,a)=g(x) and H(x,b)=f(x); the map H is called a pseudo-homotopy between f and g. A topological space X is said to be g-pseudo-contractible provided that there exists a pseudo-homotopy between an onto map from X to X and a constant map. The main purpose of this paper is to present the concept of g-pseudo-contractibility that generalizes the notions of g-contractibility and pseudo-contractibility showing general facts about it. © 2020 Elsevier B.V.
Filiaciones:
Anaya J.G.:
Universidad Autónoma del Estado de México, Facultad de Ciencias, Instituto Literiario 100, Col. Centro, Toluca, Edo. México CP 50000, Mexico
Capulín F.:
Universidad Autónoma del Estado de México, Facultad de Ciencias, Instituto Literiario 100, Col. Centro, Toluca, Edo. México CP 50000, Mexico
Madrid-Mendoza L.:
Universidad Autónoma del Estado de México, Facultad de Ciencias, Instituto Literiario 100, Col. Centro, Toluca, Edo. México CP 50000, Mexico
Maya D.:
Universidad Autónoma del Estado de México, Facultad de Ciencias, Instituto Literiario 100, Col. Centro, Toluca, Edo. México CP 50000, Mexico
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