# On foliations in Sikorski differential spaces with Brouwerian leaves

Annales Polonici Mathematici (1991)

- Volume: 54, Issue: 2, page 179-182
- ISSN: 0066-2216

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topWłodzimierz 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 -

## References

top- [1] R. Sikorski, Abstract covariant derivative, Colloq. Math. 18 (1967), 251-272. Zbl0162.25101
- [2] W. Waliszewski, Regular and coregular mappings of differential spaces, Ann. Polon. Math. 30 (1975), 263-281. Zbl0309.58004
- [3] W. Waliszewski, Foliations of differential spaces, Demonstratio Math. 18 (1) (1985), 347-352. Zbl0613.58002

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