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GRC
2005
IEEE
13 years 10 months ago
Semantic based clustering of Web documents
Abstract. A new methodology that structures the semantics of a collection of documents into the geometry of a simplicial complex is developed. A simplicial complex is topologically...
Tsau Young Lin, I-Jen Chiang
KR
2010
Springer
13 years 9 months ago
Interpreting Topological Logics over Euclidean Spaces
Topological logics are a family of languages for representing and reasoning about topological data. In this paper, we consider propositional topological logics able to express the...
Roman Kontchakov, Ian Pratt-Hartmann, Michael Zakh...
APAL
2005
125views more  APAL 2005»
13 years 4 months ago
Dynamic topological logic
Dynamic Topological Logic provides a context for studying the confluence of the topological semantics for S4, based on topological spaces rather than Kripke frames; topological dy...
Philip Kremer, Grigori Mints

Book
1902views
15 years 3 months ago
Topology Without Tears
This is beautifully written book on topology. Author has motivated the subject very nicely with lot of examples. The book covers the following topics: Topology Spaces, The Euclidea...
SIDNEY A. MORRIS
JGT
2008
150views more  JGT 2008»
13 years 4 months ago
Cycle spaces in topological spaces
: We develop a general model of edge spaces in order to generalize, unify, and simplify previous work on cycle spaces of infinite graphs. We give simple topological criteria to sho...
Antoine Vella, R. Bruce Richter