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Displaying 1 – 20 of 80
A positional characterization of the (n-1)-dimensional Sierpiński curve in (η ≠ 4)
J. Cannon (1973)
Fundamenta Mathematicae
A property of the Sorgenfrey line
Robert W. Heath, Ernest A. Michael (1971)
Compositio Mathematica
A short proof of Parovičenko's theorem
Błaszczyk, A., Szymański, A. (1980)
Abstracta. 8th Winter School on Abstract Analysis
An extension theorem for sober spaces and the Goldman topology.
Bouacida, Ezzeddine, Echi, Othman, Picavet, Gabriel, Salhi, Ezzeddine (2003)
International Journal of Mathematics and Mathematical Sciences
An irrational problem
Franklin D. Tall (2002)
Fundamenta Mathematicae
Given a topological space ⟨X,⟩ ∈ M, an elementary submodel of set theory, we define to be X ∩ M with topology generated by . Suppose is homeomorphic to the irrationals; must ? We have partial results. We also answer a question of Gruenhage by showing that if is homeomorphic to the “Long Cantor Set”, then .
Borel sets in compact spaces: some Hurewicz type theorems
Fons van Engelen, Jan van Mill (1984)
Fundamenta Mathematicae
Caractérisation topologique de l'espace des fonctions dérivables
Robert Cauty (1991)
Fundamenta Mathematicae
Characterization of Hilbert cube manifolds: an alternate proof
John J. Walsh (1986)
Banach Center Publications
Characterizations of the countable infinite product of rationals and some related problems
van Engelen, Fons (1985)
Proceedings of the 13th Winter School on Abstract Analysis
Characterizing the interval and circle by composition of functions
Warren White (1972)
Colloquium Mathematicae
Classical-type characterizations of non-metrizable ANE(n)-spaces
Valentin Gutev, Vesko Valov (1994)
Fundamenta Mathematicae
The Kuratowski-Dugundji theorem that a metrizable space is an absolute (neighborhood) extensor in dimension n iff it is (resp., ) is extended to a class of non-metrizable absolute (neighborhood) extensors in dimension n. On this base, several facts concerning metrizable extensors are established for non-metrizable ones.
Closed copies of the rationals
Eric K. Douwen (1987)
Commentationes Mathematicae Universitatis Carolinae
Compact spaces homeomorphic to a ray of ordinals
John Baker (1972)
Fundamenta Mathematicae
Compacta which are quasi-homeomorphic with a disk
Le Xuan Binh (1987)
Colloquium Mathematicae
Construction of a Hurewicz metric space whose square is not a Hurewicz space
J. O'Farrell (1987)
Fundamenta Mathematicae
Continua determined by mappings.
Charatonik, Janusz J., Charatonik, Wlodzimierz J. (2000)
Publications de l'Institut Mathématique. Nouvelle Série
Continuous decompositions of Peano plane continua into pseudo-arcs
Janusz Prajs (1998)
Fundamenta Mathematicae
Locally planar Peano continua admitting continuous decomposition into pseudo-arcs (into acyclic curves) are characterized as those with no local separating point. This extends the well-known result of Lewis and Walsh on a continuous decomposition of the plane into pseudo-arcs.
Every graph is a self-similar set.
Arenas, Francisco G., Sánchez-Granero, M.A. (2000)
Divulgaciones Matemáticas
External Characterization of I-Favorable Spaces
Valov, Vesko (2011)
Mathematica Balkanica New Series
1991 AMS Math. Subj. Class.:Primary 54C10; Secondary 54F65We provide both a spectral and an internal characterizations of arbitrary !-favorable spaces with respect to co-zero sets. As a corollary we establish that any product of compact !-favorable spaces with respect to co-zero sets is also !-favorable with respect to co-zero sets. We also prove that every C* -embedded !-favorable with respect to co-zero sets subspace of an extremally disconnected space is extremally disconnected.
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