On foliations in Sikorski differential spaces with Brouwerian leaves

Włodzimierz Waliszewski. "On foliations in Sikorski differential spaces with Brouwerian leaves." Annales Polonici Mathematici 54.2 (1991): 179-182. <http://eudml.org/doc/262344>.

@article{WłodzimierzWaliszewski1991,
abstract = {The class of locally connected and locally homeomorphically homogeneous topological spaces such that every one-to-one continuous mapping of an open subspace into the space is open has been considered. For a foliation F [3] on a Sikorski differential space M with leaves having the above properties it is proved that for some open sets U in M covering the set of all points of M the connected components of U ∩ L̲ in the topology of M coincide with the connected components in the topology of L for L∈ F.},
author = {Włodzimierz Waliszewski},
journal = {Annales Polonici Mathematici},
keywords = {Brouwerian topological space; foliation; Sikorski differential space},
language = {eng},
number = {2},
pages = {179-182},
title = {On foliations in Sikorski differential spaces with Brouwerian leaves},
url = {http://eudml.org/doc/262344},
volume = {54},
year = {1991},
}

TY - JOUR
AU - Włodzimierz Waliszewski
TI - On foliations in Sikorski differential spaces with Brouwerian leaves
JO - Annales Polonici Mathematici
PY - 1991
VL - 54
IS - 2
SP - 179
EP - 182
AB - The class of locally connected and locally homeomorphically homogeneous topological spaces such that every one-to-one continuous mapping of an open subspace into the space is open has been considered. For a foliation F [3] on a Sikorski differential space M with leaves having the above properties it is proved that for some open sets U in M covering the set of all points of M the connected components of U ∩ L̲ in the topology of M coincide with the connected components in the topology of L for L∈ F.
LA - eng
KW - Brouwerian topological space; foliation; Sikorski differential space
UR - http://eudml.org/doc/262344
ER -