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Displaying 381 – 400 of 1678

Continuous mappings and Cauchy sequences

Ján Borsík (1989)

Mathematica Slovaca

Continuous pseudo-hairy spaces and continuous pseudo-fans

Janusz R. Prajs (2002)

Fundamenta Mathematicae

A compact metric space X̃ is said to be a continuous pseudo-hairy space over a compact space X ⊂ X̃ provided there exists an open, monotone retraction $r : X ̃ \binom{o n t o}{⟶} X$ such that all fibers $r^{- 1} (x)$ are pseudo-arcs and any continuum in X̃ joining two different fibers of r intersects X. A continuum $Y_{X}$ is called a continuous pseudo-fan of a compactum X if there are a point $c \in Y_{X}$ and a family ℱ of pseudo-arcs such that $⋃ ℱ = Y_{X}$ , any subcontinuum of $Y_{X}$ intersecting two different elements of ℱ contains c, and ℱ is homeomorphic to X (with...

Continuous Uniformities.

R.A. ALÒ, H.L. SHAPIRO (1970)

Mathematische Annalen

Contractions of Nadler type on partial tvs-cone metric spaces

Xun Ge, Shou Lin (2015)

Colloquium Mathematicae

This paper introduces partial tvs-cone metric spaces as a common generalization of both tvs-cone metric spaces and partial metric spaces, and gives a new fixed point theorem for contractions of Nadler type on partial tvs-cone metric spaces. As corollaries, we obtain the main results of S. B. Nadler (1969), D. Wardowski (2011), S. Radenović et al. (2011) and H. Aydi et al. (2012) are deduced.

Contractions over generalized metric spaces.

Sarma, I.R., Rao, J.M., Rao, S.S. (2009)

The Journal of Nonlinear Sciences and its Applications

Contractive fixed points

Solomon Leader, Stephen Hoyle (1975)

Fundamenta Mathematicae

Convenient categories for topologists

H. L. Bentley, Horst Herrlich, W. A. Robertson (1976)

Commentationes Mathematicae Universitatis Carolinae

Convergence in compacta and linear Lindelöfness

Aleksander V. Arhangel'skii, Raushan Z. Buzyakova (1998)

Commentationes Mathematicae Universitatis Carolinae

Let $X$ be a compact Hausdorff space with a point $x$ such that $X ∖ {x}$ is linearly Lindelöf. Is then $X$ first countable at $x$ ? What if this is true for every $x$ in $X$ ? We consider these and some related questions, and obtain partial answers; in particular, we prove that the answer to the second question is “yes” when $X$ is, in addition, $ω$ -monolithic. We also prove that if $X$ is compact, Hausdorff, and $X ∖ {x}$ is strongly discretely Lindelöf, for every $x$ in $X$ , then $X$ is first countable. An example of linearly Lindelöf...