**
Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 19, No. 1, pp. 19-41 (2003)
**

#
Exploded and compressed spaces

##
I. Szalay

University of Szeged, Hungary

**Abstract:**
Continuing the theory of exploded and compressed numbers the paper contains five parts. Part 1.: Introduction which contains the most important rules of computation with exploded and compressed numbers. Part 2.: This part contains the concept of explosion and compression of $k$-dimensional Euclidean space $R^k$ extending the concepts of traditional linear operations, inner product, norm and metric. We extend them for the case of several variables. Part 3.: Descriptions of lux phenomena which show the visible parts of objects in the exploded spaces. Part 4.: The beginning of analysis of functions with several variables defined on the exploded space. Part 5.: A few words on the geometry of the exploded three dimensional space with an interesting open problem for the traditional three dimensional space.

**Keywords:** Exploded numbers, exploded spaces, compressed spaces, super-lines, super-planes, super-spheres, window phenomenon, extra parallelness.

**Classification (MSC2000):** 03C30

**Full text of the article:**

[Previous Article] [Next Article] [Contents of this Number]

*
© 2003 ELibM and
FIZ Karlsruhe / Zentralblatt MATH
for the EMIS Electronic Edition
*