# A note on topology of $Z$-continuous posets

Commentationes Mathematicae Universitatis Carolinae (1996)

- Volume: 37, Issue: 4, page 821-824
- ISSN: 0010-2628

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topMenon, Venu G.. "A note on topology of $Z$-continuous posets." Commentationes Mathematicae Universitatis Carolinae 37.4 (1996): 821-824. <http://eudml.org/doc/247900>.

@article{Menon1996,

abstract = {$Z$-continuous posets are common generalizations of continuous posets, completely distributive lattices, and unique factorization posets. Though the algebraic properties of $Z$-continuous posets had been studied by several authors, the topological properties are rather unknown. In this short note an intrinsic topology on a $Z$-continuous poset is defined and its properties are explored.},

author = {Menon, Venu G.},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {$Z$-continuous posets; intrinsic topology; -continuous posets; intrinsic topology},

language = {eng},

number = {4},

pages = {821-824},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {A note on topology of $Z$-continuous posets},

url = {http://eudml.org/doc/247900},

volume = {37},

year = {1996},

}

TY - JOUR

AU - Menon, Venu G.

TI - A note on topology of $Z$-continuous posets

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1996

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 37

IS - 4

SP - 821

EP - 824

AB - $Z$-continuous posets are common generalizations of continuous posets, completely distributive lattices, and unique factorization posets. Though the algebraic properties of $Z$-continuous posets had been studied by several authors, the topological properties are rather unknown. In this short note an intrinsic topology on a $Z$-continuous poset is defined and its properties are explored.

LA - eng

KW - $Z$-continuous posets; intrinsic topology; -continuous posets; intrinsic topology

UR - http://eudml.org/doc/247900

ER -

## References

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- Venugopalan P., $Z$-continuous posets, Houston J. Math. 12 (1986), 275-294. (1986) Zbl0614.06007MR0862043
- Venugopalan P., Union complete subset system, Houston J. Math. 14 (1988), 583-600. (1988) MR0998459
- Wright J.B., Wagner E.G., Thatcher J.W., A uniform approach to inductive posets and inductive closure, Theor. Computer Science 7 (1978), 57-77. (1978) Zbl0732.06001MR0480224

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