Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 4

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: local connectedness

Sortuj według:

Ogranicz wyniki do:

Locally ordered topological spaces

Pikul Piotr

Reports on Mathematical Logic

2020

Vol. 55

113--141

While topology given by a linear order has been extensively studied, this cannot be said about the case when the order is given only locally. The aim of this paper is to fill this gap. We consider relation between local orderability and separation axioms and give characterisation of those regularly locally ordered spaces which are connected, locally connected or Lindel¨of. We prove that local orderability is hereditary on open, connected or compact subsets. A collection of interesting examples is also offered.

On central sets relatively measures - a simple proof of the Sonneborn theorem

Krasinkiewicz J.

Bulletin of the Polish Academy of Sciences. Mathematics

2002

Vol. 50, no 1

21-24

We present a simple proof of an extension of the Sonneborn theorem [3] about fibers of functions defined on higher dimensional spheres.

On local n-connectedness in hyperspaces

Makuchowski W.

Bulletin of the Polish Academy of Sciences. Mathematics

2000

Vol. 48, no 1

29-33

It is shown that for any compact metric space X in hyperspaces C(X) of subcontinua of X and 2[sup X] of all nonempty closed subsets of X, local connectedness and local n-connectedness are equivalent at any point.

On local connectedness in hyperspaces

Makuchowski W.

Bulletin of the Polish Academy of Sciences. Mathematics

1999

Vol. 47, no 2

119-126

It is shown that for any Hausdorff compactum X in the hyperspace C(X) of subcontinua of X (in the hyperspace 2^X of all nonempty closed subsets of X) local connectedness and local arcwise connectedness are equivalent at any point. If X has the property of Kelley, then local connectedness of C(X) is proved to be equivalent to some stronger kinds of local connectedness and of local arcwise connectedness.